Question

Use the distributive property to simplify the expression 8(5x-9)

Answer 1

`8(5x - 9) = 40 x - 72`

Explanation:

Let a, b, and c be any real number. Then

`a(b + c) = ab + bc`

This is called the distributive property.

The given expression is

`8(5x - 9)`

Or

`8(5x + - 9)`

Let a=8, b=5x and c=-9

We apply the distributive property to obtain:

`8(5x - 9) = 8 * 5 x + 8 * - 9`

We simplify to get:

`8(5x - 9) = 40 x - 72`

Answer 2

`40x-72`

Explanation:

we have

`8(5x-9)`

Applying the distributive property

taking the outer term and multiplying it by each term inside the parenthesis

so

`8(5x-9)=8*5x-8*9`

`40x-72`