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Maths-

General

Easy

Question

What is the factored form of $50 x squared minus 32 y squared$ ?

hint Hint:

using the formula $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$ factorize the given expression

The correct answer is: 2 (5x + 4) (5x - 4) is the factorized form of the given expression.

Ans:- 2 (5x + 4)(5x - 4) is the factorized form of the given expression.
Given, $50 x squared minus 32 y squared$
Taking out common factor 2 out of equation , we get $2 open parentheses 25 x squared minus 16 y squared close parentheses$
Write $25 x squared text as end text left parenthesis 5 x right parenthesis squared text and end text 16 y squared text as end text left parenthesis 4 y right parenthesis squared text we get end text 2 open parentheses left parenthesis 5 x right parenthesis squared minus left parenthesis 4 y right parenthesis squared close parentheses$
Applying $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$
We get , $50 x squared minus 32 y squared equals 2 left parenthesis 5 x plus 4 y right parenthesis left parenthesis 5 x minus 4 y right parenthesis$
∴ 2(5x+4y)(5x-4y) is the factorized form of the given expression.

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