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Maths-

General

Easy

Question

Write the factored form of the given expression.
$3 x squared plus 18 x plus 27$

hint Hint:

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

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

Ans:-3(x + 3)² is the factorized form of given expression.
Given, $3 x squared plus 18 x plus 27$
Taking out 3 as common factor we get $3 open parentheses x squared plus 6 x plus 9 close parentheses$
Write $9 text as end text left parenthesis 3 right parenthesis squared text and end text 6 x text as end text 2 left parenthesis x right parenthesis left parenthesis 3 right parenthesis text then we get end text 3 open parentheses left parenthesis x right parenthesis squared plus 2 left parenthesis x right parenthesis left parenthesis 3 right parenthesis plus 3 squared close parentheses$
Applying $a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared text formula here end text a equals x semicolon b equals 3$
We get $3 x squared plus 18 x plus 27 equals 3 left parenthesis x plus 3 right parenthesis squared$ .
∴ 3(x + 3)² is the factorized form of the given expression.

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