Question

Factor -1/4 out of -1/2x-5/4y

Answer 1

-1/4 (2x + 5y)

-2/4x - 5/4y

-1/2x - 5/4y

Answer 2

`-(1)/(4)(2x- 5y)`

Explanation:

Given:

`-(1)/(2)x- (5)/(4)y`

We want to factor out
`-(1)/(4)`

First, Divide both sides by
`-(1)/(4)`

`=-(1)/(4)[(-(1)/(2)x /-(1)/(4)) - ((5)/(4)y /-(1)/(4))] \\`

`=-(1)/(4)((-(1)/(2)x X -4) - ((5)/(4)yX -4)) \\`

This gives us

`-(1)/(4)(2x- 5y)`