what is the product?

(-9x(5-2x))

* (18x^2 - 45x)
* (-18x^2 - 45x)
* (-18x - 45x)
* (18x - 45x)

Question

what is the product?

(-9x(5-2x))

* (18x^2 - 45x)
* (-18x^2 - 45x)
* (-18x - 45x)
* (18x - 45x)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Multiplication", "Algebraic Simplification" ], "new_concepts": [], "current_concepts": [ "Polynomial Multiplication", "Algebraic Simplification" ] } ## Distribute the monomial to each term in the binomial $$ -9x(5 - 2x) = (-9x)(5) + (-9x)(-2x) $$ ## Simplify the terms $$ \begin{aligned} (-9x)(5) &= -45x \ (-9x)(-2x) &= 18x^2 \end{aligned} $$ ## Rearrange the terms in standard form $$ 18x^2 - 45x $$

(A) $18x^2 - 45x$

(B) $-18x^2 - 45x$

(C) $-18x - 45x$

(D) $18x - 45x$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Multiplication" ] }

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QUESTION IMAGE

Question

Explanation:

Distribute the monomial to each term in the binomial

Simplify the terms

Rearrange the terms in standard form

Answer: