What is (x^2-9x+14)/(x^2+2x-8) ?

The solution to (x^2-9x+14)/(x^2+2x-8) is (x-7)/(x+4)

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simplify (x^2-9x+14)/(x^2+2x-8)

simplify

\frac{x ^{2} - 9 x + 14}{x ^{2} + 2 x - 8}

\frac{x - 7}{x + 4}

Solution steps

\frac{x ^{2} - 9 x + 14}{x ^{2} + 2 x - 8}

Factor

x^{2} - 9 x + 14 : (x - 2) (x - 7)

= \frac{( x - 2 ) ( x - 7 )}{x ^{2} + 2 x - 8}

Factor

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

= \frac{( x - 2 ) ( x - 7 )}{( x - 2 ) ( x + 4 )}

Cancel the common factor:

x - 2

= \frac{x - 7}{x + 4}

(x + 3) (x - 2) (x + 1)

1 6^{6}

\frac{1}{x ^{2} + 2 x - 24} + \frac{2}{x ^{2} - 2 x - 8} - \frac{3}{x ^{2} + 8 x + 12}

50 \div 10

\frac{2}{40}

What is (x^2-9x+14)/(x^2+2x-8) ?
The solution to (x^2-9x+14)/(x^2+2x-8) is (x-7)/(x+4)