Question
Multiply the following: $(2x - 2y - 3), (x + y + 5)$
✓
Answer
$(2x - 2y - 3), (x + y + 5)$
We have,
$(2 x-2 y-3)(x+y+5) $
$ =2 x(x+y+5)-2 y(x+y+5)-3(x+y+5) $
$ =2 x^2+2 x y+10 x-2 y x-2 y^2-10 y-3 x-3 y-15 $
$ =2 x^2+2 x y-2 y x+10 x-3 x-2 y^2-10 y-3 y-15 $
$ =2 x^2+7 x-13 y-2 y^2-15 $
We have,
$(2 x-2 y-3)(x+y+5) $
$ =2 x(x+y+5)-2 y(x+y+5)-3(x+y+5) $
$ =2 x^2+2 x y+10 x-2 y x-2 y^2-10 y-3 x-3 y-15 $
$ =2 x^2+2 x y-2 y x+10 x-3 x-2 y^2-10 y-3 y-15 $
$ =2 x^2+7 x-13 y-2 y^2-15 $
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