QuestionDecember 16, 2025

use the distributive property to remove the parentheses. (2z^4-8z^3+3)4z^5 Simplify your answer as much as possible.

use the distributive property to remove the parentheses. (2z^4-8z^3+3)4z^5 Simplify your answer as much as possible.
use the distributive property to remove the parentheses.
(2z^4-8z^3+3)4z^5
Simplify your answer as much as possible.

Solution
4.5(181 votes)

Answer

8z^{9} - 32z^{8} + 12z^{5} Explanation 1. Apply the distributive property Multiply each term inside the parentheses by 4z^5: - (2z^4)(4z^5) = 8z^{9} - (-8z^3)(4z^5) = -32z^{8} - (3)(4z^5) = 12z^{5} 2. Combine terms The simplified expression is: 8z^{9} - 32z^{8} + 12z^{5}

Explanation

1. Apply the distributive property <br /> Multiply each term inside the parentheses by $4z^5$: <br />- $(2z^4)(4z^5) = 8z^{9}$ <br />- $(-8z^3)(4z^5) = -32z^{8}$ <br />- $(3)(4z^5) = 12z^{5}$ <br /><br />2. Combine terms <br /> The simplified expression is: <br />$8z^{9} - 32z^{8} + 12z^{5}$
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