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Maths-

General

Easy

Question

Write the factored form of the given expression.
$72 x squared minus 32$

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: 8 (3x - 2) (3x + 2) is the factorized form of the given expression.

Ans:- 8(3x-2)(3x+2) is the factorized form of the given expression.
Given, $72 x squared minus 32$
Taking out common factor 8 out of equation , we get $8 open parentheses 9 x squared minus 4 close parentheses$
Write $9 x squared text as end text left parenthesis 3 x right parenthesis squared text and end text 4 text as end text left parenthesis 2 right parenthesis squared text we get end text 8 open parentheses left parenthesis 3 x right parenthesis squared minus left parenthesis 2 right parenthesis squared close parentheses$
Applying $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$
Here $a equals 3 x space semicolon space b equals 2$
We get , $72 x squared minus 32 equals 8 left parenthesis 3 x minus 2 right parenthesis left parenthesis 3 x plus 2 right parenthesis$
∴ 8(3x - 2)(3x + 2) is the factorized form of the given expression.

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