Question
Factorize of the following expressions: $a(a + b - c) - bc$
✓
Answer
$a(a + b - c) - bc= a^2+ ab - ac - bc$
$= (a^2- ac) + (ab - bc)$
$= a(a - c) + b(a - c)$
$= (a + b)(a - c) [$taking $(a - c)$ as the common factor$]$
$= (a^2- ac) + (ab - bc)$
$= a(a - c) + b(a - c)$
$= (a + b)(a - c) [$taking $(a - c)$ as the common factor$]$
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