Question

Factor −1/4 out of −1/2x−5/4y. The factored expression is .

Answer 1

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

Explanation:

Multiply and divide by -1/4:

`-(1)/(2)x-(5)/(4)y=((-(1)/(4))(-(1)/(2)x-(5)/(4)y))/(-(1)/(4))=\left(-(1)/(4)\right)(-4)\left(-(1)/(2)x-(5)/(4)y\right)\\\\=\left(-(1)/(4)\right)\left(2x+5y)`