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