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Simplify ( − 2x ) ( − x 2 − 5x − 4 ).Question 8Select one:a.− 2x 3 − 10x 2 + 8b.2x 3 − 10x 2 + 8xc.2x 3 − 10x 2 − 8d.2x 3 + 10x 2 + 8x

Question

Simplify ( − 2x ) ( − x 2 − 5x − 4 ).Question 8Select one:a.− 2x 3 − 10x 2 + 8b.2x 3 − 10x 2 + 8xc.2x 3 − 10x 2 − 8d.2x 3 + 10x 2 + 8x

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Solution

To simplify the expression ( − 2x ) ( − x 2 − 5x − 4 ), you need to distribute the term -2x to each term inside the parentheses.

-2x * -x^2 = 2x^3 -2x * -5x = 10x^2 -2x * -4 = 8x

So, the simplified expression is 2x^3 + 10x^2 + 8x.

Therefore, the correct answer is d. 2x^3 + 10x^2 + 8x.

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