# Algebraic Identities Quadratic Free Doubts and Solutions

### CBSE - IX - Mathematics - Polynomials

## Factorise: x^2+1/x^2+2-2x-2/x

**aahnik.mohanty**25th December 2017, 9:54 AM

### CBSE - IX - Mathematics - Polynomials

## x=3+√3
find x^2+9/x^2

**aahnik.mohanty**26th November 2017, 8:35 PM

### CBSE - IX - Mathematics - Polynomials

## What should be added from 16x2 + 40x + 1 to make it a perfect square?

**Topperlearning User**7th August 2017, 3:15 PM

### CBSE - IX - Mathematics - Polynomials

## If p = 2 -a, prove that a3 + 6ap + p3 - 8 = 0

**Topperlearning User**7th August 2017, 3:13 PM

### CBSE - IX - Mathematics - Polynomials

## Factorise x2 -1 -2a - a2

**Topperlearning User**7th August 2017, 3:13 PM

### CBSE - IX - Mathematics - Polynomials

## Expand: (2x + y + 3z)2

**Topperlearning User**7th August 2017, 3:06 PM

### CBSE - IX - Mathematics - Polynomials

## Factorise: b2 + c2 + 2 (ab + bc + ca)

**Topperlearning User**7th August 2017, 3:06 PM

### CBSE - IX - Mathematics - Polynomials

## Expand (i) (2x + y + 3z)2 (ii) (3a - 2b + 2c)2

**Topperlearning User**7th August 2017, 3:02 PM

### CBSE - IX - Mathematics - Polynomials

## Without calculating the square of any number , calculate the value of the following: 497 503

**Topperlearning User**7th August 2017, 2:55 PM

### CBSE - IX - Mathematics - Polynomials

## Find the square of:(i) 3x + 4y(ii) 2a + 5b

**Topperlearning User**7th August 2017, 2:54 PM

### CBSE - IX - Mathematics - Polynomials

## Simplify: (x2 + y2)2 + 2(x2 + y2) (x2 - y2 )+ (x2 - y2)2

**Topperlearning User**7th August 2017, 2:54 PM

### CBSE - IX - Mathematics - Polynomials

## Find the value of

**Topperlearning User**7th August 2017, 2:53 PM

### CBSE - IX - Mathematics - Polynomials

## Evaluate (6p - 7q)2

**Topperlearning User**7th August 2017, 2:53 PM

### CBSE - IX - Mathematics - Polynomials

##
If x = √3 + 2√2 and y = √3 - 2√2 then the value of x^{4} + y^{4} + 6 x^{2}y^{2} is

(A) 584

(B) 682

(C) 798

(D) 245

If x = √3 + 2√2 and y = √3 - 2√2 then the value of x^{4} + y^{4} + 6 x^{2}y^{2} is

(A) 584

(B) 682

(C) 798

(D) 245

**gpnkumar0**29th March 2017, 5:22 PM

### CBSE - IX - Mathematics - Polynomials

## If one zero of the polynomial (a^2 + 9)x^2 + 13x + 6a is reciprocal of the other , find the value of 'a'

**Abhijeet**26th September 2016, 6:45 PM

### CBSE - IX - Mathematics - Polynomials

## the question is find the sum of first 15 multiples of 8 (a.p of 10th std). my doubt is that why can't we take 0 as a multiple of 8 so if that is the the first term will be 0 and when i solve it i don't get the ans write because they have taken the first multiple as 8 not 0 .but why?

**Soujanya**1st June 2016, 5:54 PM

### CBSE - IX - Mathematics - Polynomials

## If a,b,c are real and a^2 + b^2 + c^2= 2(a-b-c)-3 the value of 2a -3b+4c is what??

**sreyaonline**27th May 2016, 12:59 PM

### CBSE - IX - Mathematics - Polynomials

## <div>If a, b, c are distinct real numbers such that <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=c678998906205f0a2761d499a17c5526.png" alt="a squared space minus space b space equals space b squared space minus space c space equals space c squared space minus space a space t h e n comma space f i n d space left parenthesis a space plus b right parenthesis left parenthesis b plus c right parenthesis left parenthesis c plus a right parenthesis" align="middle" /></div>

**a.behera67**4th January 2016, 9:07 PM

### CBSE - IX - Mathematics - Polynomials

## <div>If x+y+z = 0, find <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=5528f5be11c8d1aeb5bd64fccf323fc0.png" alt="fraction numerator x squared y squared space plus space y squared z squared space plus space z squared x squared over denominator x to the power of 4 space plus space y to the power of 4 space end exponent plus space z to the power of 4 end fraction" align="middle" /></div>

**a.behera67**5th November 2015, 8:02 PM

### CBSE - IX - Mathematics - Polynomials

## plz solve the following problems....

**jeffladebo**1st October 2015, 11:15 PM

### CBSE - IX - Mathematics - Polynomials

## 5+√11
______ =x+y√11
5-√11

**himanshu**20th September 2015, 9:34 PM

### CBSE - IX - Mathematics - Polynomials

## <div>if <img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=c0196e2a27179cbb5d7f0229143575a3.png" alt="open parentheses x plus 2 close parentheses squared equals space x squared plus open parentheses x minus 2 close parentheses squared" align="middle" /> then find x</div>

**badesraajay**8th September 2015, 9:45 PM

### CBSE - IX - Mathematics - Polynomials

## <div><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=c284d6e7e3277af2bc2818f80073d448.png" alt="t h e space r o o t s space o f space x subscript blank superscript 2 minus 2 x minus left parenthesis r subscript blank superscript 2 minus 1 right parenthesis" align="middle" /><img class="Wirisformula" src="https://images.topperlearning.com/topper/tinymce/integration/showimage.php?formula=2cc17402d9a2b66334efaaf7b8968a82.png" alt="equals 0 space" align="middle" /></div>

**abhijeetkhachane**21st January 2015, 10:17 PM

### CBSE - IX - Mathematics - Polynomials

## Factorize 9x2 + y2 + z2 - 6xy + 2yz - 6zx. Hence find its value if x = 1, y = 2 and z = -1.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## Simplify (x + y + z)2 - (x + y - z)2.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## Factorize: a12y4 - a4y12.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## If a = and b = , find a2 -b2.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## If x = 1 - , find value of .

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## Factorize: x2 + x + 6.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## Expand the following: (i) (x-2y-3z)2. (ii) (y-)2.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## Factorize: .

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## If a+b+c=9 and ab+bc+ca=40. Find the value

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## If a2 + b2 + c2 = 90 and a + b + c = 20 then find the value of ab + bc + ca.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## Find the product of .

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## If a2 + b2 + c2 = 30 and a + b + c = 10 then find the value of ab + bc + ca.

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## Simplify: .

**Topperlearning User**4th June 2014, 1:23 PM

### CBSE - IX - Mathematics - Polynomials

## Factorize:(a) 4a2 -9b2 -2a -3b (b) a2 + b2 -2(ab -ac + bc)

**Topperlearning User**14th February 2014, 3:54 PM