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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