What is (x^2+16x+63)/(x^2-81) ?

The solution to (x^2+16x+63)/(x^2-81) is (x+7)/(x-9)

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simplify (x^2+16x+63)/(x^2-81)

simplify

\frac{x ^{2} + 16 x + 63}{x ^{2} - 81}

\frac{x + 7}{x - 9}

Solution steps

\frac{x ^{2} + 16 x + 63}{x ^{2} - 81}

Factor

x^{2} + 16 x + 63 : (x + 7) (x + 9)

= \frac{( x + 7 ) ( x + 9 )}{x ^{2} - 81}

Factor

x^{2} - 81 : (x + 9) (x - 9)

= \frac{( x + 7 ) ( x + 9 )}{( x + 9 ) ( x - 9 )}

Cancel the common factor:

x + 9

= \frac{x + 7}{x - 9}

2 x^{2} - 32 x + 128

\frac{5}{4} \times \frac{1}{2}

46 + 26 - 6

2 e^{2 x}

What is (x^2+16x+63)/(x^2-81) ?
The solution to (x^2+16x+63)/(x^2-81) is (x+7)/(x-9)