"Spoooooooky" Russian rational expressions 7

Algebra Level 3

E=(p2qp)(4p8p32p2q+2q3+2q2) \mathscr{E} = \left(\dfrac{p}{2q-p} \right) \left( \dfrac{4p-8}{p^3 - 2p^2} - \dfrac{q+2}{q^3 + 2q^2}\right)

Let p=2016 p = 2016 and q=2017 q = 2017 . If E \mathscr{E} can be expressed in the form ab \dfrac{a}{b} , where a a and bb are coprime positive integers. Find a+ba+b.

You may use a calculator for the last step.

Credit: My former Trig teacher's worksheet of Russian rational expressions

Problem Loading...

Note Loading...

Set Loading...