What is (x^2+3x+2)/(x^2-1) ?

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

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simplify (x^2+3x+2)/(x^2-1)

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 1

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

(x + 3) (x + 8)

(8 - x)^{2}

(4 x - 7)^{2}

\frac{25}{50}

(x + 2) - (x + 2)