# JEE Novice - (20)

Algebra Level 3

$\Large f(x+y) = f(x) + f(y)+2xy$

The function $$f(x)$$ satisfies the above property $$\forall x,y \in \mathbb{N}$$. Given that $$f(1)=4$$ , find the value of $$f(8)$$.

###### This question is a part of JEE Novices.
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