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Maths-

General

Easy

Question

Write the factored form of the given expression.
$4 x squared minus 56 x plus 196$

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: 4(x-7)2 is the factorized form of the given expression.

Ans:- 4(x-7)² is the factorized form of given expression.
Given, $4 x squared minus 56 x plus 196$
Taking out 4 as common factor we get $4 open parentheses x squared minus 14 x plus 49 close parentheses$
Write $49 text as (7) end text right parenthesis squared text and end text 14 x text as end text 2 left parenthesis x right parenthesis left parenthesis 7 right parenthesis text then we get end text 4 open parentheses left parenthesis x right parenthesis squared minus 2 left parenthesis x right parenthesis left parenthesis 7 right parenthesis plus 7 squared close parentheses$
Applying $a squared minus 2 a b plus b squared equals left parenthesis a minus b right parenthesis squared text formula here end text a equals x semicolon b equals 7$
We get $4 x squared minus 56 x plus 196 equals 4 left parenthesis x minus 7 right parenthesis squared$ .
∴ 4 (x - 7)² is the factorized form of the given expression.

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