Question

Expand to write an equivalent expression: -1/4(-8x+12y)

Answer 1

2x-3y

Explanation:

To expand this expression, use the distributive property.

`-(1)/(4)(-8x+12y)`

To distribute, multiply each term inside the parentheses by the number outside the parentheses.

`(-(1)/(4)*-8x)+(-(1)/(4) *12y)`

Multiply -1/4 and -8x first.

`((-(1)/(4)*-8)x)+(-(1)/(4) *12y)`

`2x+(-(1)/(4) *12y)`

Next, multiply -1/4 and 12y.

`2x+ ((-(1)/(4) *12)y)`

`2x+ -3y`

A +- becomes a -

`2x-3y`

Answer 2

8x -12

Explanation:

Use the distributive property. 16 outside wishes to go inside and multiply each term; you get 16x/2 which is 8x minus ¾ of 16 which is 12.