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

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

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

simplify

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

\frac{x}{x - 2}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 2

= \frac{x}{x - 2}

\frac{1}{y} - \frac{1}{x}

\frac{10}{9} \div \frac{1}{6}

18 y^{5}

(5 r)^{2}

6 x^{2} - 17 x - 45