What is (x^2+8x+15)/(x^2-3x-18) ?

The solution to (x^2+8x+15)/(x^2-3x-18) is (x+5)/(x-6)

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simplify (x^2+8x+15)/(x^2-3x-18)

simplify

\frac{x ^{2} + 8 x + 15}{x ^{2} - 3 x - 18}

\frac{x + 5}{x - 6}

Solution steps

\frac{x ^{2} + 8 x + 15}{x ^{2} - 3 x - 18}

Factor

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

= \frac{( x + 3 ) ( x + 5 )}{x ^{2} - 3 x - 18}

Factor

x^{2} - 3 x - 18 : (x + 3) (x - 6)

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

Cancel the common factor:

x + 3

= \frac{x + 5}{x - 6}

\frac{256}{15}

2 x^{3} 180 + x^{2} 45 x^{2}

\frac{9 b}{a - b} \cdot \frac{a ^{2} - ab}{45 b}

4 \times 5

(2 x^{2} - 1)^{2}

What is (x^2+8x+15)/(x^2-3x-18) ?
The solution to (x^2+8x+15)/(x^2-3x-18) is (x+5)/(x-6)