What is (x+4)/(3x^2+14x+8) ?

The solution to (x+4)/(3x^2+14x+8) is 1/(3x+2)

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simplify (x+4)/(3x^2+14x+8)

simplify

\frac{x + 4}{3 x ^{2} + 14 x + 8}

\frac{1}{3 x + 2}

Solution steps

\frac{x + 4}{3 x ^{2} + 14 x + 8}

Factor

3 x^{2} + 14 x + 8 : (3 x + 2) (x + 4)

= \frac{x + 4}{( 3 x + 2 ) ( x + 4 )}

Cancel the common factor:

x + 4

= \frac{1}{3 x + 2}

\frac{300}{8}

\frac{x ^{4} - a ^{4}}{x - a}

(3 x + 4) (3 x - 4)

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

- \frac{1}{6}