Question

please help me simplify this

x/y-y/x
_________
1/x^2-1/y^2

Answer 1

preferably by using a picture

Answer 2

Let's start with the first equation.
\[\frac{x}{y}-\frac{y}{x}\]
Cross multiply the values.
\[\frac{x\times x-y\times y}{yx}\]
Simplify the exponents further.
Once you've done that, use the difference of squares to simplify again.

Answer 3

The second equation is \[\frac{1}{{x}^{2}}-\frac{1}{{y}^{2}}\]
Again, cross multiply the values.
Once you've cross multiplied, use the difference of squares.

Answer 4

can you please further explain?