Question

Sometimes you can use the distributive property to expand an expression.

You can expand - 3(5 - x) into the equivalent expression -15 + 3x. Show
you can use the distributive property to expand -4(-a+2) to get an
equivalent expression.
how

Answer 1

Given:

After expanding
`-3(5-x)` we get an equivalent expression
`-15+3x`.

The given expression is
`-4(-a+2)`.

To find:

The equivalent expression by using distributive property.

Solution:

According to the distributive property of multiplication over addition, if a, b, c are real values, then

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

We have,

`-4(-a+2)`

Using distributive property of multiplication over addition, we get

`-4(-a+2)=(-4)(-a)+(-4)(2)`

`-4(-a+2)=4a+(-8)`

`-4(-a+2)=4a-8`

Therefore, the expression
`4a-8` is equivalence to
`-4(-a+2)`.