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

The solution to 8/(x^2+6x)*2x is (16)/(x+6)

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

simplify

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

\frac{16}{x + 6}

Solution steps

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{8 \cdot 2 x}{x ^{2} + 6 x}

Factor

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

= \frac{8 \cdot 2 x}{x ( x + 6 )}

Cancel the common factor:

x

= \frac{8 \cdot 2}{x + 6}

Multiply the numbers:

8 \cdot 2 = 16

= \frac{16}{x + 6}

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