# I missed you, but you don't miss terms !

Algebra Level 3

Given the expression $(1-x)(1+x^{256})(1+x^{16})(1+x^2)(1+x^8)(1+x^{32})(1+x)(1+x^4)(1+x^{128})$

The above expression can be written as $$\dfrac{1-x^a}{1+x^b}$$ such that $$a,b \in \mathbb{N}$$ , $$10^2 \leq a \leq 10^3$$ and $$10 \leq b \leq 10^2$$.

Find the value of $$\sqrt{a+b}$$

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