waecmaths question:
Factorize completely
$(2x+2y)(x-y)+(2x-2y)(x+y)$
Option A:
$4(x-y)(x+y)$
Option B:
$4(x-y)$
Option C:
$2(x-y)(x+y)$
Option D:
$2(x-y)$
waecmaths solution:
$\begin{align} & (2x+2y)(x-y)+(2x-2y)(x+y)=2(x+y)(x-y)+2(x-y)(x+y) \\ & (2x+2y)(x-y)+(2x-2y)(x+y)=2(x+y)(x-y)[1+1] \\ & (2x+2y)(x-y)+(2x-2y)(x+y)=4(x+y)(x-y) \\\end{align}$
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