Question

Which expression is equivalent to -3x+9?

A.-3(x+9)
B.-3(x-3)
C.-3(x+12)
D.3(-x-3)

Answer 1

Answer: Choice B

Step-by-step explanation:

Use the distributive property to pull out the -3

When going in reverse like this, we divide each term by -3

-3x/(-3) = x

9/(-3) = -3

So -3x+9 = -3(x-3)

We can verify this by multiplying the -3 outside with each term inside

-3 times x = -3x

-3 times -3 = 9

This shows how -3(x-3) turns into -3x+9 again.