use the distributive property to remove the parentheses.

\4b^4(5 - 6b^5)\

simplify your answer as much as possible.

Question

use the distributive property to remove the parentheses.

\4b^4(5 - 6b^5)\

simplify your answer as much as possible.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponent Rules" ], "new_concepts": [ "Distributive Property", "Multiplying Monomials" ], "current_concepts": [ "Distributive Property", "Exponent Rules", "Multiplying Monomials" ] } ## Apply the distributive property $$ 4b^4(5 - 6b^5) = (4b^4 \cdot 5) - (4b^4 \cdot 6b^5) $$ ## Simplify each term $$ \begin{aligned} 4b^4 \cdot 5 &= 20b^4 \ 4b^4 \cdot 6b^5 &= 24b^{4+5} = 24b^9 \end{aligned} $$ ## Combine the simplified terms $$ 20b^4 - 24b^9 $$ Use the distributive property to remove the parentheses. $4b^4(5-6b^5)$ Simplify your answer as much as possible. $20b^4 - 24b^9$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Distributive Property" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Simplify each term

Combine the simplified terms

Answer: