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Maths-

General

Easy

Question

What is the factored form of
$6 x squared minus 60 x plus 150$

hint Hint:

taking out the common terms and using $a squared minus 2 a b plus b squared equals left parenthesis a minus b right parenthesis squared$ find the solution.

The correct answer is: 6(x-5)2 is the factorized form of the given expression

Ans:- 6(x - 5)² is the factorized form of given expression.
Given, $6 x squared minus 60 x plus 150$
Taking out 6 as common factor we get $6 open parentheses x squared minus 10 x plus 25 close parentheses$
Write $25 text as end text left parenthesis 5 right parenthesis squared text and end text 10 x text as end text 2 left parenthesis x right parenthesis left parenthesis 5 right parenthesis text then we get end text 3 open parentheses left parenthesis x right parenthesis squared minus 2 left parenthesis x right parenthesis left parenthesis 5 right parenthesis plus 5 squared close parentheses$
Applying $a squared minus 2 a b plus b squared equals left parenthesis a minus b right parenthesis squared text formula here end text a equals x semicolon b equals 5$
We get = . $6 x squared minus 60 x plus 150 equals 6 left parenthesis x minus 5 right parenthesis squared$
∴ 6(x - 5)² is the factorized form of the given expression.

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