Multiply by .

Combine.

Apply the distributive property.

Cancel the common factor of .

Move the leading negative in into the numerator.

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite as .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

Multiply by .

Simplify (x-1/x)/(x+1/x)