Question
Find the following product: $(0.8x - 0.5y)(1.5x - 3y)$
✓
Answer
$(0.8 x-0.5 y)(1.5 x-3 y)$
$=0.8 x(1.5 x-3 y)-0.5 y(1.5 x-3 y)$
$=(0.8 x \times 1.5 x-0.8 x \times 3 y)-(0.5 y \times 1.5 x-0.5 y \times 3 y)$
$=1.2 x^2-2.4 x y-0.75 y x+1.5 y^2$
$=1.2 x^2-3.15 x y+1.5 y^2$
$=0.8 x(1.5 x-3 y)-0.5 y(1.5 x-3 y)$
$=(0.8 x \times 1.5 x-0.8 x \times 3 y)-(0.5 y \times 1.5 x-0.5 y \times 3 y)$
$=1.2 x^2-2.4 x y-0.75 y x+1.5 y^2$
$=1.2 x^2-3.15 x y+1.5 y^2$
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