QuestionJuly 28, 2025

Use the distributive property to remove the parentheses. (10w^2-7w^3+5)3w^4 Simplify your answer as much as possible. square

Use the distributive property to remove the parentheses. (10w^2-7w^3+5)3w^4 Simplify your answer as much as possible. square
Use the distributive property to remove the parentheses.
(10w^2-7w^3+5)3w^4
Simplify your answer as much as possible.
square

Solution
4.4(228 votes)

Answer

-21w^7 + 30w^6 + 15w^4 Explanation 1. Apply the Distributive Property Multiply each term inside the parentheses by 3w^4: - 10w^2 \cdot 3w^4 = 30w^{6} - -7w^3 \cdot 3w^4 = -21w^{7} - 5 \cdot 3w^4 = 15w^{4} 2. Combine the Results Write the expression as a sum of the products obtained: 30w^6 - 21w^7 + 15w^4

Explanation

1. Apply the Distributive Property<br /> Multiply each term inside the parentheses by $3w^4$: <br />- $10w^2 \cdot 3w^4 = 30w^{6}$<br />- $-7w^3 \cdot 3w^4 = -21w^{7}$<br />- $5 \cdot 3w^4 = 15w^{4}$<br /><br />2. Combine the Results<br /> Write the expression as a sum of the products obtained:<br />$30w^6 - 21w^7 + 15w^4$
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