Question

Which is an example of using the distributive property to multiply?

Answer 1

B

Explanation:

The distributive property tells us:

`a(b+c+d)=ab+ac+ad`

So we multiply each term inside the parenthesis with whatever is outside the parenthesis.

The problem given is
`-5x^3(3x^2+3x-1)`

So we multiply
`-5x^3` with each of the terms inside the parenthesis (remembering to take the signs as well). Thus we have:

`-5x^3(3x^2+3x-1)\\=-5x^3*3x^2-5x^3*3x-5x^3*-1\\=-5x^3*3x^2-5x^3*3x+5x^3*1`

Hence answer choice B is right.