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

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

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

simplify

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

\frac{x + 2}{x + 1}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 3

= \frac{x + 2}{x + 1}

48 x^{8} - 27

(2 + y)^{5}

(- 7 + 3 i) (3 + 2 i)

- 2^{- x}

(x - 2) (x + 3)

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