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

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

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

simplify

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

\frac{x + 2}{x}

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x + 4

= \frac{x + 2}{x}

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

2 x^{3} + 6 x^{2}

\frac{- 4 + 9 i}{- 10 i}

2 \frac{1}{3} - 1 \frac{3}{4}

- 12 + (- 1)