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:

$(2 x + 8) (x - 3) = 2 x (x - 3) + 8 (x - 3) = (2 x \times x - 2 x \times 3) + (8 x - 8 \times 3) = (2 x^{2} - 6 x) + (8 x - 24) = 2 x^{2} - 6 x + 8 x - 24 = 2 x^{2} + 2 x - 24$

Thus, the answer is $2 x^{2} + 2 x - 24$ .

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