What is (x^2-x-12)/(x^2+5x+6) ?

The solution to (x^2-x-12)/(x^2+5x+6) is (x-4)/(x+2)

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simplify (x^2-x-12)/(x^2+5x+6)

simplify

\frac{x ^{2} - x - 12}{x ^{2} + 5 x + 6}

\frac{x - 4}{x + 2}

Solution steps

\frac{x ^{2} - x - 12}{x ^{2} + 5 x + 6}

Factor

x^{2} - x - 12 : (x + 3) (x - 4)

= \frac{( x + 3 ) ( x - 4 )}{x ^{2} + 5 x + 6}

Factor

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

= \frac{( x + 3 ) ( x - 4 )}{( x + 2 ) ( x + 3 )}

Cancel the common factor:

x + 3

= \frac{x - 4}{x + 2}

x^{3} \cdot 3 x^{2}

2 x \cdot (- 2) x

(7 + 3 i) + (- 8 + 9 i)

\frac{x ^{4} - x ^{3} + x - 1}{x ^{4} + x ^{3} - x - 1}

\frac{\frac{11 - w}{30 w ^{2}}}{\frac{w - 11}{5 w ^{6}}}

What is (x^2-x-12)/(x^2+5x+6) ?
The solution to (x^2-x-12)/(x^2+5x+6) is (x-4)/(x+2)