$F(x, y)$ is homogeneous of degree 2, and $F(1, v) = 2 + v - v^{2}$ for every $v$. What is $F(2, 6)$?

Explanation

1. 01

   $(2, 6) = (2 \cdot 1, 2 \cdot 3)$, so $F(2, 6) = 2^{2}F(1, 3)$.

2. 02

   $F(1, 3) = 2 + 3 - 9 = -4$, so $F(2, 6) = 4 \times (-4) = -16$.