What is (x^2+3x+2)/(x^2-5x-6) ?

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

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simplify (x^2+3x+2)/(x^2-5x-6)

simplify

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

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

Solution steps

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

Factor

x^{2} + 3 x + 2 : (x + 1) (x + 2)

= \frac{( x + 1 ) ( x + 2 )}{x ^{2} - 5 x - 6}

Factor

x^{2} - 5 x - 6 : (x + 1) (x - 6)

= \frac{( x + 1 ) ( x + 2 )}{( x + 1 ) ( x - 6 )}

Cancel the common factor:

x + 1

= \frac{x + 2}{x - 6}

(3 x^{3} - 7 x^{2} - 2 x) (x y)

\frac{3}{5} + \frac{6}{4}

(x + 8) (x + 6)

7^{2} + 3^{2}

(4 m^{5} + 5 n^{3})^{2}

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