$F(x, y)$ is homogeneous of degree 3 and $F(2, -1) = 5$. What is $F(6, -3)$?

Explanation

1. 01

   $(6, -3) = (3 \cdot 2, 3 \cdot (-1))$, so $\lambda = 3$.

2. 02

   $F(6, -3) = 3^{3}F(2, -1) = 27 \times 5 = 135$.