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Maths-

General

Easy

Question

Factor the given expression completely.
$negative 3 x cubed plus 18 x squared minus 27 x$

hint Hint:

using the formula $a squared minus 2 a b plus b squared equals left parenthesis a minus b right parenthesis squared$ factorize the given expression

The correct answer is: -3x(x-3)2 is the factorized form of the given expression.

Ans:- $3 x left parenthesis x minus 3 right parenthesis squared$ is the factorized form of the given expression.
Given, $negative 3 x cubed plus 18 x squared minus 27 x$
Taking out common factor -3x out of equation , we get $negative 3 x open parentheses x squared minus 6 x plus 9 close parentheses$
Write $6 x text as end text 2 left parenthesis 3 right parenthesis x text and end text 9 text as end text left parenthesis 3 right parenthesis squared text we get end text minus 3 x open parentheses x squared minus 2 left parenthesis 3 right parenthesis x plus 3 squared close parentheses$
Applying $a squared minus 2 a b plus b squared equals left parenthesis a minus b right parenthesis squared$
Here a = x ; b = 3
We get , $negative 3 x cubed plus 18 x squared minus 27 x equals negative 3 x left parenthesis x minus 3 right parenthesis squared$
∴ $negative 3 x left parenthesis x minus 3 right parenthesis squared$ is the factorized form of the given expression.

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