What is (x^2+6x+8)/(x^2-4) ?

The solution to (x^2+6x+8)/(x^2-4) is (x+4)/(x-2)

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simplify (x^2+6x+8)/(x^2-4)

simplify

\frac{x ^{2} + 6 x + 8}{x ^{2} - 4}

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

Solution steps

\frac{x ^{2} + 6 x + 8}{x ^{2} - 4}

Factor

x^{2} + 6 x + 8 : (x + 2) (x + 4)

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

Factor

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

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

Cancel the common factor:

x + 2

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

4 x + 6 x

(x + b)^{3}

\frac{\frac{x}{3} - 6}{10 + \frac{4}{x}}

\frac{7}{6} - \frac{7}{8}

z^{- 2}