# Factorize Each of the Following Expression: A(A − 2b − C) + 2bc - Mathematics

Sum

Factorize each of the following expression:
a(a − 2b − c) + 2bc

#### Solution

$a(a - 2b - c) + 2bc = a^2 - 2ab - ac + 2bc$
$= ( a^2 - ac) + (2bc - 2ab)$ [Regrouping the terms]
$= a(a - c) + 2b(c - a)$
$= a(a - c) - 2b(a - c) [ \because (c - a) = - (a - c)]$
$= (a - 2b)(a - c)$ [Taking (a - c) as the common factor]

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 7 Factorization
Exercise 7.4 | Q 20 | Page 12