Let's tackle the numerator first: we multiply each term in the first parenthesis with each term of the second:
[tex] \pi^2C^2 + \pi^2 CS - 40\pi CR + 20\pi CR + 20\pi RS - 800R^2 - \pi^2 CS - \pi^2 S^2 + 40\pi RS [/tex]
Summing like terms, this can be simplified to
[tex] \pi^2C^2 - 20\pi CR + 60\pi RS - 800R^2 - \pi^2 S^2 [/tex]
So, we can't divide this polynomial by [tex] 340R^2 [/tex] and expect an integer result, because there are other variables (C and S) that wouldn't simplify.
