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Maths-

General

Easy

Question

Factor the given expression completely.
$121 x squared plus 110 x plus 25$

hint Hint:

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

The correct answer is: (11x+5)2 is the factorized form of the given expression.

Ans:- $left parenthesis 11 x plus 5 right parenthesis squared$ is the factorized form of the given expression.
Given, $121 x squared plus 110 x plus 25$
Write $110 x text as end text 2 left parenthesis 11 x right parenthesis 5 text and end text 25 text as end text left parenthesis 5 right parenthesis squared text and end text 121 x squared text as end text left parenthesis 11 x right parenthesis squared text we get end text left parenthesis 11 x right parenthesis squared plus 2 left parenthesis 11 x right parenthesis 5 plus 5 squared$
Applying $a squared plus 2 a b plus b squared equals left parenthesis a plus b right parenthesis squared$
Here a = 11x ; b = 5
We get , $121 x squared plus 110 x plus 25 equals left parenthesis 11 x plus 5 right parenthesis squared$
∴ $left parenthesis 11 x plus 5 right parenthesis squared$ is the factorized form of the given expression

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