# 'Bashing' Telescope.

Algebra Level 5

$\large \displaystyle \sum_{i=2}^{10} \dfrac{4i^5 + 10i^4 + 16i^3 + 14i^2-4i - 4}{i^8 + 4i^7 + 2i^6 - 8i^5 - 7i^4 + 4i^3 + 4i^2}$

If the above summation can be simplified to $$\dfrac{a}{b}$$ where $$a$$ and $$b$$ are coprime positive integers . What is the value of $$a+b$$?

×