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Maths-

General

Easy

Question

Factor the given expression completely.
$64 x squared y squared minus 144 z squared$

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: 16(2xy+3z)(2xy-3z) is the factorized form of the given expression.

Ans:- 16 (2xy + 3z) (2xy - 3z) is the factorized form of the given expression.
Given, $64 x squared y squared minus 144 z squared$
Taking out common factor 16 out of equation , we get $16 open parentheses 4 x squared y squared minus 9 z squared close parentheses$
Write $4 x squared y squared text as end text left parenthesis 2 x y right parenthesis squared text and end text 9 z squared text as end text left parenthesis 3 z right parenthesis squared text we get end text 16 open parentheses left parenthesis 2 x y right parenthesis squared minus left parenthesis 3 z right parenthesis squared close parentheses$
Applying $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$
Here a = 2xy ; b = 3z
We get , $64 x squared y squared minus 144 z squared equals 16 left parenthesis 2 x y plus 3 z right parenthesis left parenthesis 2 x y minus 3 z right parenthesis$
∴ 16 ( 2xy + 3z ) ( 2xy - 3z ) is the factorized form of the given expression.

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