What is (x^2+11x+30)/(x^2-25) ?

The solution to (x^2+11x+30)/(x^2-25) is (x+6)/(x-5)

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simplify (x^2+11x+30)/(x^2-25)

simplify

\frac{x ^{2} + 11 x + 30}{x ^{2} - 25}

\frac{x + 6}{x - 5}

Solution steps

\frac{x ^{2} + 11 x + 30}{x ^{2} - 25}

Factor

x^{2} + 11 x + 30 : (x + 5) (x + 6)

= \frac{( x + 5 ) ( x + 6 )}{x ^{2} - 25}

Factor

x^{2} - 25 : (x + 5) (x - 5)

= \frac{( x + 5 ) ( x + 6 )}{( x + 5 ) ( x - 5 )}

Cancel the common factor:

x + 5

= \frac{x + 6}{x - 5}

\frac{- 28 x y ^{6} z ^{2}}{4 x ^{5} yz}

\frac{2}{2} - \frac{3}{2}

10 - 9

- 2 (p + 4) 2 - 3 + 5 p

\frac{65}{8}

What is (x^2+11x+30)/(x^2-25) ?
The solution to (x^2+11x+30)/(x^2-25) is (x+6)/(x-5)