Answer :
Answer:
[tex]-\frac{1}{4} [2x + 5y][/tex]
Step-by-step explanation:
We are asked to factor out [tex]-\frac{1}{4}[/tex] out of [tex]-\frac{1}{2}x-\frac{5}{4}y[/tex].
To factor out [tex]-\frac{1}{4}[/tex], we have to take common [tex]-\frac{1}{4}[/tex] from the expression [tex]-\frac{1}{2}x-\frac{5}{4}y[/tex].
The process of taking common is shown below:
[tex]-\frac{1}{2}x-\frac{5}{4}y[/tex]
=[tex]-\frac{1}{4} \times (-4)[-\frac{1}{2}x-\frac{5}{4} y ][/tex] {To take [tex]-\frac{1}{4}[/tex] as common we have to multiply -4 with the whole term}
= [tex]-\frac{1}{4} [(-4) \times(-\frac{1}{2} x)+(-4) \times(-\frac{5}{4}y )][/tex]
= [tex]-\frac{1}{4} [2x + 5y][/tex] ( Answer )