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}

15 y^{2} + 16 y - 15

\frac{tan ^{2} ( x )}{sec ( x ) + 1} + 1

\frac{4 + 4 i}{- 2 - 8 i}

\frac{- 5}{8} - \frac{11}{20}

(- 5 t^{3} + 4 t^{2} - t) - (8 t^{2} + t)

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)