Question

Which expression is equivalent to -5(b - 6)?

1) -5b - 30
2) 5b + 6
3) -5b + 30
4) -5b - 6

Answer 1

Our answer is -5b + 30.

`\Large\texttt{Explanation}`

We are asked to simplify the expression -5(b - 6).

To do so we'll use the distributive property: a(b + c) = ab + ac

All we need to do is distribute -5:

-5(b - 6)

-5b + 30

`\therefore` -5b + 30

Answer 2

Answer: -5b + 30

Work Shown

-5(b-6)

-5b - 5(-6)

-5b + 30

I multiplied the outer -5 with each term inside.

For more information and examples, search out "distributive property".