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Maths-

General

Easy

Question

Factor the given expression completely.
$49 x cubed minus 16 x y squared$

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: x(7x-4y)(7x+4y) is the factorized form of the given expression.

Ans:- x(7x-4y)(7x+4y) is the factorized form of the given expression.
Given, $49 x cubed minus 16 x y squared$
Taking out common factor x out of equation , we get $x open parentheses 49 x squared minus 16 y squared close parentheses$
Write $49 x squared text as end text left parenthesis 7 x right parenthesis squared text and end text 16 y squared text as end text left parenthesis 4 y right parenthesis squared text we get end text x open parentheses left parenthesis 7 x right parenthesis squared minus left parenthesis 4 y right parenthesis squared close parentheses$
Applying $a squared minus b squared equals left parenthesis a minus b right parenthesis left parenthesis a plus b right parenthesis$
Here a = 7x ; b = 4y
We get , $49 x cubed minus 16 x y squared equals x left parenthesis 7 x minus 4 y right parenthesis left parenthesis 7 x plus 4 y right parenthesis$
∴ x ( 7x - 4y ) ( 7x + 4y ) is the factorized form of the given expression.

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