What is n/(m^2)+3/(mn)+2/m ?

The solution to n/(m^2)+3/(mn)+2/m is (n^2+3m+2nm)/(nm^2)

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simplify n/(m^2)+3/(mn)+2/m

simplify

\frac{n}{m ^{2}} + \frac{3}{mn} + \frac{2}{m}

\frac{n ^{2} + 3 m + 2 nm}{n m ^{2}}

Solution steps

\frac{n}{m ^{2}} + \frac{3}{mn} + \frac{2}{m}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{n ^{2}}{n m ^{2}} + \frac{3 m}{n m ^{2}} + \frac{2 nm}{n m ^{2}}

Apply the fraction rule:

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

= \frac{n ^{2} + 3 m + 2 nm}{n m ^{2}}

- 6 \cdot (- 2)

\frac{\frac{5 x}{x + 3}}{\frac{x ^{2} - 8 x + 15}{x ^{2} - 9}}

\frac{a - 1}{a - 2} - \frac{a - 2}{a + 3} + \frac{1}{a - 1}

(3 x - 2 y)^{4}

45 p^{2}

What is n/(m^2)+3/(mn)+2/m ?
The solution to n/(m^2)+3/(mn)+2/m is (n^2+3m+2nm)/(nm^2)