Question
Factorize of the following algebraic expression:$(2x - 3y)(a + b) + (3x - 2y)(a + b)$
✓
Answer
$(2x - 3y)(a + b) + (3x - 2y)(a + b)$
$ = (2x - 3y + 3x -2y)(a + b) [$taking $(a + b)$ as the common factor$]$
$= (5x - 5y)(a + b)$
$= 5(x - y)(a +b) [$taking $5$ as the common factor of $(5x -5y)]$
$ = (2x - 3y + 3x -2y)(a + b) [$taking $(a + b)$ as the common factor$]$
$= (5x - 5y)(a + b)$
$= 5(x - y)(a +b) [$taking $5$ as the common factor of $(5x -5y)]$
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