Question

What algebraic expression is equivalent to this expression?
9(2x+6) - 18

Answer 1

18x+36

Explanation:

We are given the expression:

`9(2x+6)-18`

We want to simplify the expression. First, let's distribute the 9. Multiply each term inside the parentheses by 9.

`(9*2x)+(9*6)-18`

`(18x)+(54)-18`

Combine like terms. There are 2 constants (terms without variables): 54 and -18. We can add them together.

`(18x)+(54+-18)`

`(18x)+(54-18)`

`18x+36`

The expression 9(2x+6)-18 is equivalent to 18x+36

Answer 2

18x+36

Explanation:

9(2x+6) - 18

Distribute

9*2x + 9 *6 -18

18x +54 -18

Combine like terms

18x+36