Question

I don't understand, please help.

Answer 1

5y^2-2x/3x^2y^3
 hope you understand its as a fraction.

Answer 2

Copying the problem:

  5              4
--------- - ---------
3x^2y      6xy^3

1) Multiplying numerator and denominator of the first fraction by 2 results in:

   2(5)
----------  (Call this A)
6x^2*y

2) Mult. the numerator and denom of the 2nd fraction by x results in

      4x
-------------    (Call this B)
  6x^2y^3   and this denom. is almost the same as that of the 1st fract.

3) Mult. the num. and den. of fract. A by y^2 results in

  2(5)(y^2)
---------------  (Call this C)
6x^2*y^3

Now the denominators of the 2 fractions are identical, and so we can combine them:

   4x               10y^2          4x - 10y^2
------------  -  -------------- = ----------------  (answer)
6x^2*y^3      6x^2*y^3       6x^2*y^3