To divide by a fraction, multiply by its reciprocal.

Cancel the common factor of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Multiply and .

Rewrite as .

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

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

Rewrite as .

Factor out of .

Factor out of .

Reorder terms.

Cancel the common factor.

Rewrite the expression.

Multiply by .

Move to the left of .

Move the negative in front of the fraction.

Reduce ((9-s^2)/(3rs))÷((s^2+2s-15)/(5rs))