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

The solution to (x^2-x-6)/(x^2+3x+2) is (x-3)/(x+1)

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

simplify

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

\frac{x - 3}{x + 1}

Solution steps

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

Factor

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

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

Factor

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

= \frac{( x + 2 ) ( x - 3 )}{( x + 1 ) ( x + 2 )}

Cancel the common factor:

x + 2

= \frac{x - 3}{x + 1}

(- 1 + \frac{4 k}{n})^{2}

32 - 107

- 3 y - 2 y

4 x^{2} + 20 x - 16

\frac{1 2}{2}

What is (x^2-x-6)/(x^2+3x+2) ?
The solution to (x^2-x-6)/(x^2+3x+2) is (x-3)/(x+1)