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Maths-

General

Easy

Question

Factor the given expression completely.
$7 x cubed y minus 63 x y cubed$

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: 7xy(x-3y)(x+3y) is the factorized form of the given expression.

Ans:- 7xy (x - 3y)(x + 3y) is the factorized form of the given expression.
Given, $7 x cubed y minus 63 x y cubed$
Taking out common factor 7xy out of equation , we get $7 x y open parentheses x squared minus 9 y squared close parentheses$
Write $9 y squared text as end text left parenthesis 3 y right parenthesis squared text we get end text 7 x y open parentheses left parenthesis x right parenthesis squared minus left parenthesis 3 y right parenthesis squared close parentheses$
Applying $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$
Here a = x ; b = 3y
We get , $7 x cubed y minus 63 x y cubed equals 7 x y left parenthesis x minus 3 y right parenthesis left parenthesis x plus 3 y right parenthesis$
∴ 7xy (x - 3y)(x + 3y) is the factorized form of the given expression

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