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

Math
To divide by a fraction, multiply by its reciprocal.
Simplify terms.
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Cancel the common factor of .
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Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Simplify the numerator.
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Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Factor using the AC method.
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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.
Cancel the common factor of and .
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Rewrite as .
Factor out of .
Factor out of .
Reorder terms.
Cancel the common factor.
Rewrite the expression.
Simplify the expression.
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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))

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