Answer:
\(-\frac{1}{4}(2x- 5y)\)
Step-by-step explanation:
Given:
\(-\frac{1}{2}x- \frac{5}{4}y\)
We want to factor out \(-\frac{1}{4}\)
First, Divide both sides by \(-\frac{1}{4}\)
\(=-\frac{1}{4}[(-\frac{1}{2}x \div-\frac{1}{4}) - (\frac{5}{4}y \div-\frac{1}{4})] \\\)
\(=-\frac{1}{4}((-\frac{1}{2}x X -4) - (\frac{5}{4}yX -4)) \\\)
This gives us
\(-\frac{1}{4}(2x- 5y)\)
