Simplify (a^3-4a)/(a^3+7a^2+10a)

Math
Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Simplify the denominator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
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.
Reduce the expression by cancelling the common factors.
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Simplify (a^3-4a)/(a^3+7a^2+10a)

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