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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

x^{2} - 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{2 x ^{- 1}}{y ^{- 1} - 2 x ^{- 1}}

(4 x) (4 x)

(5 x^{2} + 2)^{2}

(x^{2} + x - 1) (3 x^{2} + 6 x + 6)

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