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Home /Doubts and Solutions/CBSE/Class 9/Mathematics/Polynomials/Algebraic Identities Cubic Type

Algebraic Identities Cubic Type Free Doubts and Solutions

CBSE - IX - Mathematics - Polynomials

Please answer this question

qsnImg
Asked by Girishdhawan 25th June 2018, 8:53 PM
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CBSE - IX - Mathematics - Polynomials

Please solve this question 

qsnImg
Asked by vikasg13.hardware 23rd June 2018, 5:14 PM
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CBSE - IX - Mathematics - Polynomials

Please answer this question

qsnImg
Asked by Girishdhawan 23rd June 2018, 8:59 AM
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CBSE - IX - Mathematics - Polynomials

Prove (a+b+c)^3 - a^3 - b^3 - c^3 = 3(a+b) (b+c) (c+a)

Asked by kirtiagarwal148 7th June 2018, 7:49 PM
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CBSE - IX - Mathematics - Polynomials

Without actually calculating the cubes,find the value of (1/2)^3+(1/3)^3-(5/6)^3    

Asked by Kalasashi88 31st May 2018, 11:32 PM
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CBSE - IX - Mathematics - Polynomials

a+b=6 and ab=8 then astraight a cubed plus straight b cubed=

Asked by Prakash 18th March 2018, 5:02 PM
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CBSE - IX - Mathematics - Polynomials

Sir how can we expand alpha cube - beta cube

a cubed minus beta cubed

Asked by rahmanfarseen 16th March 2018, 1:40 PM
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CBSE - IX - Mathematics - Polynomials

iF a+b+c = 0, then prove that (b+c)2 / 3bc  + (c+a)2 / 3ca  +  (a+b)2 / 3ab = 1

Asked by Vikas 5th March 2018, 12:04 PM
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CBSE - IX - Mathematics - Polynomials

actorize (x – 3y)3 + (3y – 7z)3 + (7z - x)3

Asked by gujarsurjeet007 15th February 2018, 6:52 PM
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CBSE - IX - Mathematics - Polynomials

Without actually calculating the cubes, find the value of (-1)^3 + (-2)^3 + (-3)^3 + (-4)^3 + 2(5^3) . Write the identify used

Asked by Marie 9th February 2018, 4:29 PM
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CBSE - IX - Mathematics - Polynomials

If (x+1/x)=9,then find the value of (x^3+1/x^3)

Asked by rr5210887 4th February 2018, 9:27 PM
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CBSE - IX - Mathematics - Polynomials

If 2x+3y=12 and xy=6find the value of 8x³+27y³  

Asked by Pratikshyapmuduli 31st January 2018, 10:44 PM
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CBSE - IX - Mathematics - Polynomials

(x+y)3  + ( y + z)3  + ( z+x)3 - 3(x+y)(y+z)(z+x) = 2 ( x3 + y3 + z3 - 3xyz)

Asked by Vikas 23rd January 2018, 11:07 PM
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CBSE - IX - Mathematics - Polynomials

Please solve question no. 7 with proper explanation 

Asked by adityaahuja099 11th December 2017, 9:03 PM
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CBSE - IX - Mathematics - Polynomials

Please solve this problem with proper explanation 

Asked by adityaahuja099 11th December 2017, 8:53 PM
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CBSE - IX - Mathematics - Polynomials

Asked by Topperlearning User 7th August 2017, 3:37 PM
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CBSE - IX - Mathematics - Polynomials

Factorise : x6 +8y6 - z6 + 6x2y2z2

Asked by Topperlearning User 7th August 2017, 3:36 PM
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CBSE - IX - Mathematics - Polynomials

The volume of a cuboid is given by the algebraic expression ky2 - 6ky +8k . Find the possible expressions of the dimensions of the cuboid.

Asked by Topperlearning User 7th August 2017, 3:35 PM
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CBSE - IX - Mathematics - Polynomials

Factorise : a7b +ab7

Asked by Topperlearning User 7th August 2017, 3:35 PM
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CBSE - IX - Mathematics - Polynomials

What are the possible expressions for the dimensions of the cuboids whose volume is given by x3 - 3x2 - 9x - 5 ?

Asked by Topperlearning User 7th August 2017, 3:35 PM
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CBSE - IX - Mathematics - Polynomials

Without actually evaluating the cubes, find the value of: 153 - 63 - 93

Asked by Topperlearning User 7th August 2017, 3:34 PM
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CBSE - IX - Mathematics - Polynomials

Use suitable identities to Factorise 3  - 8y 3 - 62y+ 12y2

Asked by Topperlearning User 7th August 2017, 3:32 PM
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CBSE - IX - Mathematics - Polynomials

Use suitable identity to factorise 27p3 + 8q3 + 54p2q + 36p q2

Asked by Topperlearning User 7th August 2017, 3:30 PM
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CBSE - IX - Mathematics - Polynomials

Use suitable identity to evaluate  (97)3

Asked by Topperlearning User 7th August 2017, 3:30 PM
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CBSE - IX - Mathematics - Polynomials

The volume of a cube is x3 - 15x2 + 75x - 125 cubic units. Find the dimensions of the cube if x = 15 units.

Asked by Topperlearning User 7th August 2017, 3:29 PM
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CBSE - IX - Mathematics - Polynomials

Without actually evaluating the cubes, find the value of: (8)3 + (5)3 + (-13)3

Asked by Topperlearning User 7th August 2017, 3:29 PM
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CBSE - IX - Mathematics - Polynomials

Factorize: 64x3 - 125y3

Asked by Topperlearning User 7th August 2017, 3:28 PM
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CBSE - IX - Mathematics - Polynomials

Factorise: 27x3 + 8y3

Asked by Topperlearning User 7th August 2017, 3:28 PM
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CBSE - IX - Mathematics - Polynomials

Write (3x + 5y)3 in the expanded form

Asked by Topperlearning User 7th August 2017, 3:28 PM
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CBSE - IX - Mathematics - Polynomials

Q) Let f(x) be a cubic polynomial such that f(1)=1,f(2)=2,f(3)=3 and f(4)=16. Find the value of f(5).

Asked by banerjee_milky 5th June 2017, 10:34 AM
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CBSE - IX - Mathematics - Polynomials

x^2+y^2=60 and x-y=6,then find the value of x^3-y^3

Asked by dollyjacob1976 12th August 2016, 1:31 PM
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CBSE - IX - Mathematics - Polynomials

chapter 4 rd sharma class 9 cce mcq q7
 

Asked by Darpan 22nd July 2016, 4:05 PM
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CBSE - IX - Mathematics - Polynomials

If x+y+z=0 , then show that x cube +y cube + Z cube = 3XYZ

Asked by Furi 20th June 2016, 5:21 PM
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CBSE - IX - Mathematics - Polynomials

1) Factorise by using middle term splitting

83 + 27y+ z3 _ 18yz

2) Find

(783)2/3

Please explain step-by-step.

use cubic algebraic identities

Asked by stutagra 26th May 2016, 4:36 PM
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CBSE - IX - Mathematics - Polynomials

X^3+1/x^3=216 and find the value of x+1/x
 

Asked by akashkumar2005 17th September 2015, 3:55 PM
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CBSE - IX - Mathematics - Polynomials

May I know how to verify the expansion of [a+b+c]2?

Asked by prakritiprakash12 14th June 2015, 10:34 AM
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CBSE - IX - Mathematics - Polynomials

A^1/x=b^1/y=c^1/z and abc =1 find the value of x+y+z

Asked by Shringoyal 1st May 2015, 4:55 PM
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CBSE - IX - Mathematics - Polynomials

FROM WHERE a^3 + b^3 formula is derived?

Asked by Ayush 3rd April 2015, 7:55 PM
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CBSE - IX - Mathematics - Polynomials

factorize the following :

3Ö3c3 +5Ö2c3

Asked by smpadvisory 17th September 2014, 6:14 PM
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CBSE - IX - Mathematics - Polynomials

If a?+b?+c?=0, then (a+b+c)3= 27abc. how

Asked by manavmansvi 31st August 2014, 7:44 PM
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CBSE - IX - Mathematics - Polynomials

give me the proof of a^3+b^3.
 

Asked by ARJUN 3rd August 2014, 12:48 PM
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CBSE - IX - Mathematics - Polynomials

<div>EVALUATE UING IDENTITIES</div> <div><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=efc88502851e7f8a70722995a6001f7b.png" alt="left parenthesis 99 right parenthesis cubed" align="middle" /></div>

Asked by sujatashetty2000 16th July 2014, 6:59 AM
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CBSE - IX - Mathematics - Polynomials

Factorise : (i) (8b3 - 1) (ii) (p3q3 + 343)

Asked by Topperlearning User 10th July 2014, 1:30 PM
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CBSE - IX - Mathematics - Polynomials

simplify
783 raised to the power of 2/3 = ?
 

Asked by Umar 4th July 2014, 6:12 PM
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CBSE - IX - Mathematics - Polynomials

(a) Find the value of 34 x 36 using suitable identify. (b) Simplify using identify:

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Without actually calculating the cubes, find the value of 753 - 253 - 503.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Expand: (a) (b)

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Factorise:

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CBSE - IX - Mathematics - Polynomials

If a - b = 7, a2 + b2 = 85 find a3 - b3.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Factorise: a3 - b3 + 1 + 3ab.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Prove that (x+y)3 - (x - y)3 - 6y (x2 - y2) = 8y3.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If a + b = 10 and a2 + b2 = 58, find the value of a3 + b3.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If x + y + z = 1, xy + yz + zx = -1 and xyz = -1 find the value of x3+y3+z3.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Without finding the cubes, factorize and find the value of:

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CBSE - IX - Mathematics - Polynomials

If (x + y + z) = 0, then prove that (x3 + y3 + z3) = 3xyz.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If a+b = 12 and ab= 27, find the value of a3+b3.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Simplify: .

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CBSE - IX - Mathematics - Polynomials

Factorize: a7 + ab6.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Prove that = 1.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If x + = 7 then find the value of x3 + .

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CBSE - IX - Mathematics - Polynomials

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CBSE - IX - Mathematics - Polynomials

Factorize :.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Evaluate using suitable identity (999)3.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Factorize : (x - y)3 + (y - z)3 + (z - x)3

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Factorize : x3 - 8y3 - 27z3 - 18xyz.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If x3 + ax2 + bx + 6 has x - 2 as a factor and leaves a remainder 3 when divided by x - 3, find the values of a and b.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

The volume of a cube is given by the polynomial p(x) = 8x3 - 36x2 + 54x - 27. Find the possible expression for the sides of cube.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Factorize : 8 - 27x3 - 36x + 54x2

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Factorize : a3 + 8b3 - 27c2 + 18 abc.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If x and y be two positive real number such that 8x3 + 27y3 = 730 and 2x2y + 3xy2 = 15 then show that 2x + 3y = 10.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If x + y + z = 1, xy + yz + zx = -1 and xyz = -1 then find the value of x3 + y3 + z3.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Using suitable identity evaluate (-28)3 + (9)3 + (19)3

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Using suitable identity evaluate (-32)3 + (18)3 + (14)3.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Prove that: 2x3 + 2y3 + 2z3 - 6xyz = (x + y + z) [(x - y)2 + (y - z)2 + (z - x)2 hence evaluate 2(7)3 + 2(9)3 + 2(13)3 - 6(7) (9) (13).

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Using suitable identity evaluate (42)3 - (18)3 - (24)3.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Factorize : 8 a3 - b3 - 12a2b + 6ab2

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If x = 2 + , then find the value of .

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CBSE - IX - Mathematics - Polynomials

If a + b = 8 and a2 + b2 = 40 find the value of a3 + b3=.

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CBSE - IX - Mathematics - Polynomials

If p = 4 - q, prove that p3 + q3 + 12pq = 64.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Factorise : a3(b - c)3 + b3 (c - a)3 + c3 (a - b)3

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Verify x3 + y3 + z3 - 3xyz = (x + y + z) [(x - y)2 + (y - z)2 + (z - x)2] and factorise 64x3 - 125y3 - 64z3 + 240 xyz.

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

If a = 1 - , find

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

Evaluate (999)3.

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CBSE - IX - Mathematics - Polynomials

Asked by Topperlearning User 4th June 2014, 1:23 PM
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CBSE - IX - Mathematics - Polynomials

27a3 + 1/64a2 +27a2/4b +9a/16b2

Asked by sumvee2002 27th May 2014, 10:27 AM
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CBSE - IX - Mathematics - Polynomials

128x3y3-250z3

Asked by deepa1973 17th May 2014, 4:24 PM
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