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Algebraic Identities Cubic Type Free Doubts and Solutions
CBSE - IX - Mathematics - Polynomials
factorize 3 
a^3 - b^3- 5 
C^3 - 3 
abc
a^3 - b^3- 5 C^3 - 3 abc
Asked by Nimmi
31st January 2019,
1:11 PM
CBSE - IX - Mathematics - Polynomials
Please answer this question
Asked by Girishdhawan
25th June 2018,
8:53 PM
CBSE - IX - Mathematics - Polynomials
Please solve this question
Asked by vikasg13.hardware
23rd June 2018,
5:14 PM
CBSE - IX - Mathematics - Polynomials
Please answer this question
Asked by Girishdhawan
23rd June 2018,
8:59 AM
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
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
CBSE - IX - Mathematics - Polynomials
a+b=6 and ab=8 then a
=
=
Asked by Prakash
18th March 2018,
5:02 PM
CBSE - IX - Mathematics - Polynomials
Sir how can we expand alpha cube - beta cube
Asked by rahmanfarseen
16th March 2018,
1:40 PM
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
CBSE - IX - Mathematics - Polynomials
actorize (x – 3y)3 + (3y – 7z)3 + (7z - x)3
Asked by gujarsurjeet007
15th February 2018,
6:52 PM
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
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
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
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
CBSE - IX - Mathematics - Polynomials
Please solve question no. 7 with proper explanation
Asked by adityaahuja099
11th December 2017,
9:03 PM
CBSE - IX - Mathematics - Polynomials
Please solve this problem with proper explanation
Asked by adityaahuja099
11th December 2017,
8:53 PM
CBSE - IX - Mathematics - Polynomials
Factorise : x6 +8y6 - z6 + 6x2y2z2
Asked by Topperlearning User
7th August 2017,
3:36 PM
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
CBSE - IX - Mathematics - Polynomials
Factorise : a7b +ab7
Asked by Topperlearning User
7th August 2017,
3:35 PM
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
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
CBSE - IX - Mathematics - Polynomials
Use suitable identities to Factorise 3 - 8y 3 - 62y+ 12y2
Asked by Topperlearning User
7th August 2017,
3:32 PM
CBSE - IX - Mathematics - Polynomials
Use suitable identity to factorise 27p3 + 8q3 + 54p2q + 36p q2
Asked by Topperlearning User
7th August 2017,
3:30 PM
CBSE - IX - Mathematics - Polynomials
Use suitable identity to evaluate (97)3
Asked by Topperlearning User
7th August 2017,
3:30 PM
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
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
CBSE - IX - Mathematics - Polynomials
Factorize: 64x3 - 125y3
Asked by Topperlearning User
7th August 2017,
3:28 PM
CBSE - IX - Mathematics - Polynomials
Factorise: 27x3 + 8y3
Asked by Topperlearning User
7th August 2017,
3:28 PM
CBSE - IX - Mathematics - Polynomials
Write (3x + 5y)3 in the expanded form
Asked by Topperlearning User
7th August 2017,
3:28 PM
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
CBSE - IX - Mathematics - Polynomials
<div>EVALUATE :</div> <div><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=a5a35ea08036eff27603398064836547.png" alt="30 cubed plus space space 20 to the power of 3 space end exponent minus 50 to the power of 3 space space end exponent space W I T H O U T space A C T U A L L Y space C A L C U L A T I N G space T H E space C U B E S space W R I T E space T H E space I D E N T I T Y space U S E D" align="middle" /></div>
Asked by Sunny
24th May 2017,
7:19 PM
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
CBSE - IX - Mathematics - Polynomials
chapter 4 rd sharma class 9 cce mcq q7
Asked by Darpan
22nd July 2016,
4:05 PM
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
CBSE - IX - Mathematics - Polynomials
1) Factorise by using middle term splitting
83 + 27y3 + 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
CBSE - IX - Mathematics - Polynomials
<div>If <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=95a8b688c6f25add2c2414eb6de218e8.png" alt="left parenthesis a plus b right parenthesis squared" align="middle" />=<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=8f44ec5aaa891ddc30e3fd8c15c42b03.png" alt="2 a squared" align="middle" />+<img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=b1ccb57005715054499408ba911fcf98.png" alt="2 b squared" align="middle" />, show that a=b</div>
Asked by Divyaa
29th October 2015,
7:35 PM
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
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
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
CBSE - IX - Mathematics - Polynomials
FROM WHERE a^3 + b^3 formula is derived?
Asked by Ayush
3rd April 2015,
7:55 PM
CBSE - IX - Mathematics - Polynomials
<div><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=ce4fa3dfb460ec006eec3beddd2b40c6.png" alt="open parentheses 42 close parentheses to the power of 3 space end exponent space minus space open parentheses 18 close parentheses cubed space minus open parentheses 24 close parentheses cubed space e v a l u a t e space i t space w i t h space b y space d o i n g space a c t u a l l y space c a l c u l a t i n g space c u b e s" align="middle" /></div>
Asked by KALAPANA.KOTAK
19th September 2014,
7:10 PM
CBSE - IX - Mathematics - Polynomials
factorize the following :
3Ö3c3 +5Ö2c3
3Ö3c3 +5Ö2c3
Asked by smpadvisory
17th September 2014,
6:14 PM
CBSE - IX - Mathematics - Polynomials
If a?+b?+c?=0, then (a+b+c)3= 27abc. how
If a?+b?+c?=0, then (a+b+c)3= 27abc. how
Asked by manavmansvi
31st August 2014,
7:44 PM
CBSE - IX - Mathematics - Polynomials
give me the proof of a^3+b^3.
Asked by ARJUN
3rd August 2014,
12:48 PM
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
CBSE - IX - Mathematics - Polynomials
Factorise : (i) (8b3 - 1) (ii) (p3q3 + 343)
Asked by Topperlearning User
10th July 2014,
1:30 PM
CBSE - IX - Mathematics - Polynomials
simplify
783 raised to the power of 2/3 = ?
Asked by Umar
4th July 2014,
6:12 PM
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
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
CBSE - IX - Mathematics - Polynomials
Expand: (a) (b)
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Factorise:
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
If a - b = 7, a2 + b2 = 85 find a3 - b3.
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Factorise: a3 - b3 + 1 + 3ab.
Asked by Topperlearning User
4th June 2014,
1:23 PM
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
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
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
CBSE - IX - Mathematics - Polynomials
Without finding the cubes, factorize and find the value of:
Asked by Topperlearning User
4th June 2014,
1:23 PM
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
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
CBSE - IX - Mathematics - Polynomials
Simplify: .
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Factorize: a7 + ab6.
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Prove that = 1.
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
If x + = 7 then find the value of x3 + .
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Factorize :.
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Evaluate using suitable identity (999)3.
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Factorize : (x - y)3 + (y - z)3 + (z - x)3
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Factorize : x3 - 8y3 - 27z3 - 18xyz.
Asked by Topperlearning User
4th June 2014,
1:23 PM
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
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
CBSE - IX - Mathematics - Polynomials
Factorize : 8 - 27x3 - 36x + 54x2
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Factorize : a3 + 8b3 - 27c2 + 18 abc.
Asked by Topperlearning User
4th June 2014,
1:23 PM
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
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
CBSE - IX - Mathematics - Polynomials
Using suitable identity evaluate (-28)3 + (9)3 + (19)3
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Using suitable identity evaluate (-32)3 + (18)3 + (14)3.
Asked by Topperlearning User
4th June 2014,
1:23 PM
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
CBSE - IX - Mathematics - Polynomials
Using suitable identity evaluate (42)3 - (18)3 - (24)3.
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Factorize : 8 a3 - b3 - 12a2b + 6ab2
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
If x = 2 + , then find the value of .
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
If a + b = 8 and a2 + b2 = 40 find the value of a3 + b3=.
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
If p = 4 - q, prove that p3 + q3 + 12pq = 64.
Asked by Topperlearning User
4th June 2014,
1:23 PM
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
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
CBSE - IX - Mathematics - Polynomials
If a = 1 - , find
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
Evaluate (999)3.
Asked by Topperlearning User
4th June 2014,
1:23 PM
CBSE - IX - Mathematics - Polynomials
27a3 + 1/64a2 +27a2/4b +9a/16b2
Asked by sumvee2002
27th May 2014,
10:27 AM
