QuestionAugust 25, 2025

Multiply. (5b+7)(-2b-5) Simplify your answer. square square

Multiply. (5b+7)(-2b-5) Simplify your answer. square square
Multiply. (5b+7)(-2b-5) Simplify your answer. square square

Solution
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Answer

-10b^2 - 39b - 35 Explanation 1. Apply the Distributive Property Multiply each term in the first binomial by each term in the second binomial: (5b)(-2b) + (5b)(-5) + (7)(-2b) + (7)(-5). 2. Calculate Each Product 5b \cdot -2b = -10b^2, 5b \cdot -5 = -25b, 7 \cdot -2b = -14b, 7 \cdot -5 = -35. 3. Combine Like Terms Combine -25b and -14b: -25b - 14b = -39b.

Explanation

1. Apply the Distributive Property<br /> Multiply each term in the first binomial by each term in the second binomial: $(5b)(-2b) + (5b)(-5) + (7)(-2b) + (7)(-5)$.<br /><br />2. Calculate Each Product<br /> $5b \cdot -2b = -10b^2$, $5b \cdot -5 = -25b$, $7 \cdot -2b = -14b$, $7 \cdot -5 = -35$.<br /><br />3. Combine Like Terms<br /> Combine $-25b$ and $-14b$: $-25b - 14b = -39b$.
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