What is (x^2+5x+6)/(x^2+8x+15) ?

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

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simplify (x^2+5x+6)/(x^2+8x+15)

simplify

\frac{x ^{2} + 5 x + 6}{x ^{2} + 8 x + 15}

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

Solution steps

\frac{x ^{2} + 5 x + 6}{x ^{2} + 8 x + 15}

Factor

x^{2} + 5 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}

k^{9} \cdot k^{- 3}

- 6 + 924

(3 x^{2} - x + 9) (x^{2} + 3 x + 3)

(- 2 + 3 i)^{3}

y^{- 4}

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