What is (x^2+6x-7)/(x^2+9x+14) ?

The solution to (x^2+6x-7)/(x^2+9x+14) is (x-1)/(x+2)

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simplify (x^2+6x-7)/(x^2+9x+14)

simplify

\frac{x ^{2} + 6 x - 7}{x ^{2} + 9 x + 14}

\frac{x - 1}{x + 2}

Solution steps

\frac{x ^{2} + 6 x - 7}{x ^{2} + 9 x + 14}

Factor

x^{2} + 6 x - 7 : (x - 1) (x + 7)

= \frac{( x - 1 ) ( x + 7 )}{x ^{2} + 9 x + 14}

Factor

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

= \frac{( x - 1 ) ( x + 7 )}{( x + 2 ) ( x + 7 )}

Cancel the common factor:

x + 7

= \frac{x - 1}{x + 2}

\frac{6}{- 9}

(- 3) + (- 2)

(a - b) \cdot (a + b) - 2 a^{2} + b^{2}

6 (- 6)

x^{11} \cdot x^{5}

What is (x^2+6x-7)/(x^2+9x+14) ?
The solution to (x^2+6x-7)/(x^2+9x+14) is (x-1)/(x+2)