Question

Simplify the expression.

Answer 1

start by simplifying the numerator and denominator:

Numerator:  multiply both terms by y to get ...y + x
Denominator: multiply both terms by y² to get....y² - x² 

So we now have:
$\frac{y+x}{ y^{2} - x^{2} }$  factor the denominator
$\frac{y+x}{(y+x)(y-x)}$  Reduce
$\frac{1}{y-x}$