What is (x^2+x-6)/(x^2+8x+15) ?

The solution to (x^2+x-6)/(x^2+8x+15) is (x-2)/(x+5)

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simplify (x^2+x-6)/(x^2+8x+15)

simplify

\frac{x ^{2} + x - 6}{x ^{2} + 8 x + 15}

\frac{x - 2}{x + 5}

Solution steps

\frac{x ^{2} + x - 6}{x ^{2} + 8 x + 15}

Factor

x^{2} + x - 6 : (x - 2) (x + 3)

= \frac{( x - 2 ) ( x + 3 )}{x ^{2} + 8 x + 15}

Factor

x^{2} + 8 x + 15 : (x + 3) (x + 5)

= \frac{( x - 2 ) ( x + 3 )}{( x + 3 ) ( x + 5 )}

Cancel the common factor:

x + 3

= \frac{x - 2}{x + 5}

(3 x - 3)^{3}

e^{2 x} + e^{2 x}

lo g_{5} (200)

\frac{\frac{5}{3 r - 1} - 5}{\frac{5}{3 r - 1} + 5}

What is (x^2+x-6)/(x^2+8x+15) ?
The solution to (x^2+x-6)/(x^2+8x+15) is (x-2)/(x+5)