Question

Find the product.

7x³ (6x² - 4x)
A. 13x - 11x³
4
B.
13x³-11x¹
C. 42x³ - 28x*
D.
42x - 28x³

Answer 1

C. 42x⁵ -28x⁴

Explanation:

You want to simplify the product 7x³(6x² -4x).

Distributive property

The distributive property and the rules of exponents apply.

`7x^3(6x^2-4x)=(7x^3)(6x^2) +(7x^3)(-4x) = (7\cdot6)(x^(3+2))-(7\cdot4)x^(3+1)\\\\=\boxed{42x^5-28x^4}\qquad\text{matches choice C}`

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