What is (x^2+3x+2)/(x^2-4) ?

The solution to (x^2+3x+2)/(x^2-4) is (x+1)/(x-2)

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simplify (x^2+3x+2)/(x^2-4)

simplify

\frac{x ^{2} + 3 x + 2}{x ^{2} - 4}

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

Solution steps

\frac{x ^{2} + 3 x + 2}{x ^{2} - 4}

Factor

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

= \frac{( x + 1 ) ( x + 2 )}{x ^{2} - 4}

Factor

x^{2} - 4 : (x + 2) (x - 2)

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

Cancel the common factor:

x + 2

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

(- y + 3)^{2}

\frac{- 2 + 2 i}{2}

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

\frac{9}{120}

\frac{5 b + m}{a + 7} - \frac{5 b}{a + 7}