Question

N²+3m²          3m-4n -----------   -   ----------- =?    mn                  n

Answer 1

$\displaystyle \frac{n^{2}+3m^{2}}{mn}- \frac{3m-4n}{n}= \frac{n^{2}+3m^{2}-m(3m-4n)}{mn}= \\ \\ = \frac{n^{2}+3m^{2}-3m^{2}+4mn}{mn}= \frac{n^{2}}{mn}+ \frac{4mn}{mn}= \frac{n}{m}+4$

Answer 2

To simplify the given expression:

(N² + 3m²) / (3m - 4n) - mn / n

Let's simplify each term separately:

(N² + 3m²) / (3m - 4n):

This is already in its simplest form.

mn / n:

The 'n' term cancels out, leaving us with 'm'.

So the simplified expression is:

(N² + 3m²) / (3m - 4n) - m