What is (x^2-7x-30)/(x^2+5x+6) ?

The solution to (x^2-7x-30)/(x^2+5x+6) is (x-10)/(x+2)

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simplify (x^2-7x-30)/(x^2+5x+6)

simplify

\frac{x ^{2} - 7 x - 30}{x ^{2} + 5 x + 6}

\frac{x - 10}{x + 2}

Solution steps

\frac{x ^{2} - 7 x - 30}{x ^{2} + 5 x + 6}

Factor

x^{2} - 7 x - 30 : (x + 3) (x - 10)

= \frac{( x + 3 ) ( x - 10 )}{x ^{2} + 5 x + 6}

Factor

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

= \frac{( x + 3 ) ( x - 10 )}{( x + 2 ) ( x + 3 )}

Cancel the common factor:

x + 3

= \frac{x - 10}{x + 2}

(11 - 7 i) - (- 3 + 12 i)

\frac{1}{5} \div 2

4 + (- 7)

- 3 2^{\frac{1}{5}}

(3 x - 1) (3 x^{2} + 3 x + 8)

What is (x^2-7x-30)/(x^2+5x+6) ?
The solution to (x^2-7x-30)/(x^2+5x+6) is (x-10)/(x+2)