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Maths-

General

Easy

Question

Write the factored form of the given expression.
$3 x squared plus 30 x plus 75$

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.
Ans:- 3(x+5)2 is the factorized form of given expression.

The correct answer is: 3(x + 5)2 is the factorized form of given expression.

Given, $3 x squared plus 30 x plus 75$
Taking out 3 as common factor we get $3 open parentheses x squared plus 10 x plus 25 close parentheses$
Write $25 text as end text left parenthesis 5 right parenthesis squared text and end text 10 x text as end text 2 left parenthesis x right parenthesis left parenthesis 5 right parenthesis text then we get end text 3 open parentheses left parenthesis x right parenthesis squared plus 2 left parenthesis x right parenthesis left parenthesis 5 right parenthesis plus 5 squared close parentheses$
Applying $a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared text formula here end text a equals x space semicolon space b equals 5$
We get = $3 x squared plus 30 x plus 75 equals 3 left parenthesis x plus 5 right parenthesis squared$
∴ 3 (x + 5)² is the factorized form of the given expression.

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