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Question
Multiply:
(2x + 8) by (x − 3)
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Solution
To multiply the expressions, we will use the distributive law in the following way:
\[\left( 2x + 8 \right)\left( x - 3 \right)\]
\[ = 2x\left( x - 3 \right) + 8\left( x - 3 \right)\]
\[ = \left( 2x \times x - 2x \times 3 \right) + \left( 8x - 8 \times 3 \right)\]
\[ = \left( 2 x^2 - 6x \right) + \left( 8x - 24 \right)\]
\[ = 2 x^2 - 6x + 8x - 24\]
\[ = 2 x^2 + 2x - 24\]
Thus, the answer is \[2 x^2 + 2x - 24\].
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