Question

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

Answer 1

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

Explanation:

We are asked to factor out
`-(1)/(4)` out of
`-(1)/(2)x-(5)/(4)y`.

To factor out
`-(1)/(4)`, we have to take common
`-(1)/(4)` from the expression
`-(1)/(2)x-(5)/(4)y`.

The process of taking common is shown below:

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

=
`-(1)/(4) * (-4)[-(1)/(2)x-(5)/(4) y ]` {To take
`-(1)/(4)` as common we have to multiply -4 with the whole term}

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

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