Multiply by .

Combine.

Apply the distributive property.

Cancel the common factor of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Move to the left of .

Rewrite as .

Rewrite as .

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

Multiply by .

Cancel the common factor.

Rewrite the expression.

Simplify (3/x+7)/(9/(x^2)-49)