What is (x^2-x-12)/(x^2+7x+12) ?

The solution to (x^2-x-12)/(x^2+7x+12) is (x-4)/(x+4)

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simplify (x^2-x-12)/(x^2+7x+12)

simplify

\frac{x ^{2} - x - 12}{x ^{2} + 7 x + 12}

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

Solution steps

\frac{x ^{2} - x - 12}{x ^{2} + 7 x + 12}

Factor

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

= \frac{( x + 3 ) ( x - 4 )}{x ^{2} + 7 x + 12}

Factor

x^{2} + 7 x + 12 : (x + 3) (x + 4)

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

Cancel the common factor:

x + 3

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

5^{3^{2^{1^{0}}}} + 5

2 \times \frac{2}{2}

- 5 \times \frac{1}{2}

3 x^{2} - 6 x + x y - 2 y

What is (x^2-x-12)/(x^2+7x+12) ?
The solution to (x^2-x-12)/(x^2+7x+12) is (x-4)/(x+4)