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

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

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

simplify

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

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

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 1

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

(3 x) (3 x)

36 - 37 x - 48 x^{2}

2 x (x + 2)

\frac{( 2 x ^{3} y ^{2} ) ^{3}}{( 3 x y ) ^{2}}