Question

what is the product?

(-9x(5-2x))

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

Explanation:

Distribute the monomial to each term in the binomial

$$ -9x(5 - 2x) = (-9x)(5) + (-9x)(-2x) $$

Simplify each product

$$ (-9x)(5) = -45x $$

$$ (-9x)(-2x) = 18x^2 $$

Combine and rearrange terms in standard form

$$ 18x^2 - 45x $$

Answer:

• (A) \(18x^2-45x\) (Correct answer)
• (B) \(-18x^2-45x\)
• (C) \(-18x-45x\)
• (D) \(18x-45x\)