What is 2/(3x^2+12x)+8/(2x) ?

The solution to 2/(3x^2+12x)+8/(2x) is (12x+50)/(3x(x+4))

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simplify 2/(3x^2+12x)+8/(2x)

simplify

\frac{2}{3 x ^{2} + 12 x} + \frac{8}{2 x}

\frac{12 x + 50}{3 x ( x + 4 )}

Solution steps

\frac{2}{3 x ^{2} + 12 x} + \frac{8}{2 x}

Cancel

\frac{8}{2 x} : \frac{4}{x}

= \frac{2}{3 x ^{2} + 12 x} + \frac{4}{x}

Simplify

\frac{2}{3 x ^{2} + 12 x} + \frac{4}{x} : \frac{2 + 12 ( x + 4 )}{3 x ( x + 4 )}

= \frac{2 + 12 ( x + 4 )}{3 x ( x + 4 )}

Simplify

2 + 12 (x + 4) : 12 x + 50

= \frac{12 x + 50}{3 x ( x + 4 )}

(x + 1)^{2} - 2

(12 + 5 i) - (5 - 8 i)

4 x^{2} + 2

(- 1 + 2 i) - (12 + 7 i)

\frac{5 c}{4 c + 1} - \frac{c - 1}{1 + 4 c}

What is 2/(3x^2+12x)+8/(2x) ?
The solution to 2/(3x^2+12x)+8/(2x) is (12x+50)/(3x(x+4))