What is (x^2+11x+18)/(x^2-2x-8) ?

The solution to (x^2+11x+18)/(x^2-2x-8) is (x+9)/(x-4)

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simplify (x^2+11x+18)/(x^2-2x-8)

simplify

\frac{x ^{2} + 11 x + 18}{x ^{2} - 2 x - 8}

\frac{x + 9}{x - 4}

Solution steps

\frac{x ^{2} + 11 x + 18}{x ^{2} - 2 x - 8}

Factor

x^{2} + 11 x + 18 : (x + 2) (x + 9)

= \frac{( x + 2 ) ( x + 9 )}{x ^{2} - 2 x - 8}

Factor

x^{2} - 2 x - 8 : (x + 2) (x - 4)

= \frac{( x + 2 ) ( x + 9 )}{( x + 2 ) ( x - 4 )}

Cancel the common factor:

x + 2

= \frac{x + 9}{x - 4}

(3 - \frac{2 x}{9})^{8}

1 - \frac{1}{4}

(2 sin (t))^{2}

cos (2 x) sin (2 x)

6^{2} \cdot 6^{5}

What is (x^2+11x+18)/(x^2-2x-8) ?
The solution to (x^2+11x+18)/(x^2-2x-8) is (x+9)/(x-4)