use the distributive property to remove the parentheses.

$(6x^3 - 5x^2 + 8)9x^4$

simplify your answer as much as possible.

Question

use the distributive property to remove the parentheses.

$(6x^3 - 5x^2 + 8)9x^4$

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": [ "Distributive Property", "Multiplying Monomials", "Exponent Rules" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Multiplying Monomials", "Exponent Rules", "Polynomial Multiplication" ] } ## Apply the distributive property $$ (6x^3 - 5x^2 + 8) \cdot 9x^4 = (6x^3 \cdot 9x^4) - (5x^2 \cdot 9x^4) + (8 \cdot 9x^4) $$ ## Multiply the monomials $$ \begin{aligned} 6x^3 \cdot 9x^4 &= 54x^{3+4} = 54x^7 \ 5x^2 \cdot 9x^4 &= 45x^{2+4} = 45x^6 \ 8 \cdot 9x^4 &= 72x^4 \end{aligned} $$ ## Combine the terms $$ 54x^7 - 45x^6 + 72x^4 $$ Use the distributive property to remove the parentheses. $$ (6x^3 - 5x^2 + 8)9x^4 $$ Simplify your answer as much as possible. $54x^7 - 45x^6 + 72x^4$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Multiplication" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Multiply the monomials

Combine the terms

Answer: