What is 6/x+7/(5x^2) ?

The solution to 6/x+7/(5x^2) is (30x+7)/(5x^2)

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simplify 6/x+7/(5x^2)

simplify

\frac{6}{x} + \frac{7}{5 x ^{2}}

\frac{30 x + 7}{5 x ^{2}}

Solution steps

\frac{6}{x} + \frac{7}{5 x ^{2}}

Least Common Multiplier of

x, 5 x^{2} : 5 x^{2}

Adjust Fractions based on the LCM

= \frac{30 x}{5 x ^{2}} + \frac{7}{5 x ^{2}}

Apply the fraction rule:

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

= \frac{30 x + 7}{5 x ^{2}}

4 x \times 3 x^{2}

\frac{3 x ^{3}}{9 x ^{2} - 45 x}

\frac{19}{13} \cdot 5

+ \frac{- 2}{3}

2 i^{2} \cdot (3 i)^{3}