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Maths-

General

Easy

Question

Factor the given expression.
$9 x squared minus 100$

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: (3x - 10) (3x + 10) is the factorized form of the given expression.

ANS :- (3x-10)(3x+10) is the factorized form of the given expression.
Given , $9 x squared minus 100$
Using square root and squaring on 9 and 100 . we get $left parenthesis square root of 9 x right parenthesis squared minus left parenthesis square root of 100 right parenthesis squared$
using the formula $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$
Here $a equals square root of 9 x equals 3 x text and end text b equals square root of 100 equals 10$
Then $9 x squared minus 100 equals left parenthesis 3 x minus 10 right parenthesis left parenthesis 3 x plus 10 right parenthesis$
∴ (3x - 10) (3x + 10) is the factorized form of the given expression.

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