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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 1

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

\frac{5}{6} - 4

254 - 424

\frac{1}{10} + \frac{11}{20}

105

9 t^{2} - 16 u^{2}

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