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

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

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

simplify

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

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

Solution steps

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

Factor

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

= \frac{( x + 3 ) ( x + 5 )}{x ^{2} + 5 x + 6}

Factor

x^{2} + 5 x + 6 : (x + 2) (x + 3)

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

Cancel the common factor:

x + 3

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

\frac{200}{1000}

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

- 2 \times 12

- 2 \times (- 9)

- 2 \times + 3

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