Ask a Doubt
Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 8 Answered

Hi,Sir I wanna know that why we add or subtract something when we factorize algebraic expressions like 4 x to the power of 4 space end exponent plus space y to the power of 4 to the power of blank end exponent 
Asked by SPARSH | 26 Feb, 2016, 01:47: PM
answered-by-expert Expert Answer

This expression does not appear to factor, since there is no identity for the sum of squares.

However, by adding and subtracting the term, we arrive at a difference of squares.

begin mathsize 14px style 4 x to the power of 4 plus y to the power of 4 equals 4 x to the power of 4 plus 4 x squared y squared plus y to the power of 4 minus 4 x squared y squared space space space... open parentheses Adding space and space subtracting space 4 straight x squared straight y squared space close parentheses equals left parenthesis 2 x squared plus y squared right parenthesis squared minus left parenthesis 2 x y right parenthesis squared space space space space space space space space space space.... left square bracket sin c e space left parenthesis a plus b right parenthesis squared equals a squared plus 2 a b plus b squared equals left parenthesis 2 x squared plus y squared minus 2 x y right parenthesis left parenthesis 2 x squared plus y squared plus 2 x y right parenthesis space space space space space space space.... left square bracket S i n c e space a squared minus b squared equals left parenthesis a plus b right parenthesis left parenthesis a minus b right parenthesis right square bracket end style

Answered by | 26 Feb, 2016, 06:03: PM

Application Videos

Concept Videos

Multiple Choice Questions Practice Test
Answered Unanswered My Questions My Answers
CBSE 8 - Maths
The four integers consecutively lower than 81 ,and the four consecutively higher than 81are added together . this sum is divisible by
Asked by sarkarchaitali4001 | 02 May, 2024, 04:11: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
A sum of 190 is divided between X, Y and Z. Y got 15 more than X and Z got 19 more than Y. Find each one's share. 8
question image
Asked by jaiswal445512 | 01 May, 2024, 05:42: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
912,303,102,33,?,3,2
Asked by jigmetyangchen13 | 28 Apr, 2024, 02:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
x^2-x-240
Asked by kalpana3821 | 28 Apr, 2024, 06:48: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
3m-9=4x-9/2+5x/7
question image
Asked by chauhannaman12b | 25 Apr, 2024, 09:33: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
9/16×4/12) +9/10×-3/9
Asked by gk9941740 | 23 Apr, 2024, 05:13: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
absolute value of product of the sum of 17/21 and 8/7 by their difference
Asked by pinkiyadav79919 | 22 Apr, 2024, 08:03: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
a 300million year old fossil of a cockroach was recently found in Ohio,america the ancient cockroach was 4right one upon two inches long while the modern cockroach is one upon two inches long how many times longer is the ancient cockroach than the modern cockroach
question image
Asked by hk1354035 | 20 Apr, 2024, 06:33: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
A 1 117 3 m long rope is cut into equal pieces measuring 1 7 3 m each. How many such small pieces are these?
Asked by kaminiverma8787 | 16 Apr, 2024, 04:22: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 8 - Maths
the price of 100 pens rs 500 whole 3/5 and price of 50 pencils is rs.100 whole 1/5.the price of 3 pethe price of 100 pens rs 500 whole 3/5 and price of 50 pencils is rs.100 whole 1/5.the price of 3 pens and 5 pencil, is
Asked by chauhanshivansh112 | 15 Apr, 2024, 08:41: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
My Class Videos Tests ₹ Plans Ask a Doubt
Get Latest Study Material for Academic year 24-25 Click here
×