Multiply by .

Combine.

Apply the distributive property.

Cancel the common factor of .

Factor out 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 .

Cancel the common factor of .

Move the leading negative in into the numerator.

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Rewrite as .

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

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Multiply by .

Cancel the common factor.

Rewrite the expression.

Simplify (x/9-1/x)/(1+3/x)