Question

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

Answer 1

Answer:

2x-3y

Step-by-step explanation:

To expand this expression, use the distributive property.

$-\frac{1}{4}(-8x+12y)$

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

$(-\frac{1}{4}*-8x)+(-\frac{1}{4} *12y)$

Multiply -1/4 and -8x first.

$((-\frac{1}{4}*-8)x)+(-\frac{1}{4} *12y)$

$2x+(-\frac{1}{4} *12y)$

Next, multiply -1/4 and 12y.

$2x+ ((-\frac{1}{4} *12)y)$

$2x+ -3y$

A +- becomes a -

$2x-3y$

Answer 2

Answer:

 

8x -12

Step-by-step 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.