Combine the numerators over the common denominator.

Rewrite as .

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

Cancel the common factor.

Divide by .

Subtract (a^2)/(a+9)-81/(a+9)

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# Subtract (a^2)/(a+9)-81/(a+9)

Combine the numerators over the common denominator.

Rewrite as .

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

Cancel the common factor.

Divide by .

Subtract (a^2)/(a+9)-81/(a+9)