Question

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

a) (2x - 3y)
b) (-2x + 3y)
c) (2x + 3y)
d) (-2x - 3y)

Answer 1

To find the equivalent expression for -1/4(-8x+12y), distribute -1/4 to both terms inside the parentheses to get (2x - 3y), which corresponds to answer option a).

Step-by-step explanation:

To expand and write an equivalent expression for -1/4(-8x+12y), we distribute -1/4 to both terms inside the parentheses:

1. Multiply -1/4 by -8x, which gives 2x.
2. Multiply -1/4 by 12y, which gives -3y.

Combine the results to get the equivalent expression: (2x - 3y).

Therefore, the correct answer is option a) (2x - 3y).