Question
Multiply:
$(2 x+8) \text { by }(x-3)$

Answer

To multiply, we will use distributive law as follows:
$(2 x+8) \text { by }(x-3)$
$=2 x(x-3)+8(x-3)$
$=(2 x \times x-2 x \times 3)+(8 x-8 \times 3)$
$=\left(2 x^2-6 x\right)+(8 x-24)$
$=2 x^2-6 x+8 x-24$
$=2 x^2+2 x-24$
Thus, the answer is $2 x^2+2 x-24$.

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