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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 1

= \frac{x - 3}{x - 2}

(3 x - \frac{1}{2})^{2}

(a - x)^{3}

4 x^{2} + x^{2}

\frac{x ^{3} - 27}{x ^{2} - 9}

\frac{x ^{2} + x - 2}{x ^{3} - x ^{2} - x + 1}

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