What is (x^2-x-6)/(x^2+7x+10) ?

The solution to (x^2-x-6)/(x^2+7x+10) is (x-3)/(x+5)

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simplify (x^2-x-6)/(x^2+7x+10)

simplify

\frac{x ^{2} - x - 6}{x ^{2} + 7 x + 10}

\frac{x - 3}{x + 5}

Solution steps

\frac{x ^{2} - x - 6}{x ^{2} + 7 x + 10}

Factor

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

= \frac{( x + 2 ) ( x - 3 )}{x ^{2} + 7 x + 10}

Factor

x^{2} + 7 x + 10 : (x + 2) (x + 5)

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

Cancel the common factor:

x + 2

= \frac{x - 3}{x + 5}

2 (x^{2} + y^{2})^{2}

- 8 - (- 12)

9 x^{2} - 18 x

\frac{( 1 + i ) ^{3}}{( 3 + i ) ^{2}}

\frac{( 5 d ^{- 3} ) ^{2}}{- 20 d ^{- 10}}

What is (x^2-x-6)/(x^2+7x+10) ?
The solution to (x^2-x-6)/(x^2+7x+10) is (x-3)/(x+5)