What is 2/(m^2n)+5/n ?

The solution to 2/(m^2n)+5/n is (2+5m^2)/(m^2n)

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simplify 2/(m^2n)+5/n

simplify

\frac{2}{m ^{2} n} + \frac{5}{n}

\frac{2 + 5 m ^{2}}{m ^{2} n}

Solution steps

\frac{2}{m ^{2} n} + \frac{5}{n}

Least Common Multiplier of

m^{2} n, n : m^{2} n

Adjust Fractions based on the LCM

= \frac{2}{m ^{2} n} + \frac{5 m ^{2}}{m ^{2} n}

Apply the fraction rule:

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

= \frac{2 + 5 m ^{2}}{m ^{2} n}

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x^{2} + 10 x + 25 = 81

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