Question
Expand the following product.
(3 – x) (x – 6)
(3 – x) (x – 6)
✓
Answer
$(3-x)(x-6)$
= (3 – x)x – (3 – x)6
$\begin{array}{l}=3 x-x^2-(18-6 x) \\ =3 x-x^2-18+6 x \\ =-x^2+6 x+3 x-18 \\ =-x^2+9 x-18\end{array}$
= (3 – x)x – (3 – x)6
$\begin{array}{l}=3 x-x^2-(18-6 x) \\ =3 x-x^2-18+6 x \\ =-x^2+6 x+3 x-18 \\ =-x^2+9 x-18\end{array}$
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