Question

Y^2-x^2/5x-5y in simplest form

Answer 1

-(y + x/5.

Explanation:

y^2-x^2/5x-5y

The numerator is the difference of 2 squares so

= (y - x)(y + x) / 5(x - 5y)

The GCF of the denominator = 5 so we have:

(y - x)(y + x) / 5(x - y)

= (y - x)(y + x) / -5(y - x)

Now y - x is common to both numerator and denominator

so the answer is

(y + x)/-5.

= -(y + x)/ 5