Question

Which expression is equivalent to -1/4( -1/2x - 3/4) -1/2 ( 3/4x + 1/8)

Answer 1

Answer:

Step-by-step explanation:

$\frac{-1}{4}(\frac{-1}{2}x-\frac{3}{4})-\frac{1}{2}(\frac{3}{4}x+\frac{1}{8})\\\\=\frac{-1}{4}*\frac{-1}{2}x-\frac{-1}{4}*\frac{3}{4}-\frac{1}{2}*\frac{3}{4}x-\frac{1}{2}*\frac{1}{8}\\\\=\frac{1}{8}x+\frac{3}{16}-\frac{3}{8}x-\frac{1}{16}\\\\=\frac{1}{8}x-\frac{3}{8}x+\frac{3}{16}-\frac{1}{16}\\\\=\frac{(1-3)x}{8}+\frac{3-1}{16}\\\\=\frac{-2}{8}x+\frac{2}{16}\\\\=\frac{-1}{4}x+\frac{1}{4}$