Question

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

Answer 1

Answer:

  (-1/4)(2x +5y)

Step-by-step explanation:

Multiply and divide by -1/4:

  $-\frac{1}{2}x-\frac{5}{4}y=\dfrac{(-\frac{1}{4})(-\frac{1}{2}x-\frac{5}{4}y)}{-\frac{1}{4}}=\left(-\dfrac{1}{4}\right)(-4)\left(-\dfrac{1}{2}x-\dfrac{5}{4}y\right)\\\\=\left(-\dfrac{1}{4}\right)\left(2x+5y)$