Question
Find the following product: $(7x + 2y)(x + 4y)$
✓
Answer
$(7 x+2 y)(x+4 y)$
$=7 x(x+4 y)+2 y(x+4 y)$
$=(7 x \times x+7 x \times 4 y)+(2 y \times x+2 y \times 4 y)$
$=7 x^2+28 x y+2 x y+8 y^2$
$=7 x^2+30 x y+8 y^2$
$=7 x(x+4 y)+2 y(x+4 y)$
$=(7 x \times x+7 x \times 4 y)+(2 y \times x+2 y \times 4 y)$
$=7 x^2+28 x y+2 x y+8 y^2$
$=7 x^2+30 x y+8 y^2$
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