Question
Find the following product: $(2 x+3 y-5)(x+y)$
✓
Answer
$(2 x+3 y-5)(x+y)$
$=2 x(x+y)+3 y \times(x+y)-5(x+y)$
$=(2 x \times x+2 x \times y)+(3 y \times x+3 y \times y)-(5 \times x+5 \times y)$
$=2 x^2+2 x y+3 y x+3 y^2-5 x-5 y$
$=2 x^2+5 x y-5 x-5 y+3 y^2$
$=2 x(x+y)+3 y \times(x+y)-5(x+y)$
$=(2 x \times x+2 x \times y)+(3 y \times x+3 y \times y)-(5 \times x+5 \times y)$
$=2 x^2+2 x y+3 y x+3 y^2-5 x-5 y$
$=2 x^2+5 x y-5 x-5 y+3 y^2$
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