\ \
\Step 1 : \ \
\A function f is called homogeneous of degree n if it satisfies the equation
for all t, where n is a positive integer. \ \
Step 2 : \ \
\The function is
.
Substitute
in above equation.

Substitute
in above equation. \ \

Since
, the function
is a homogeneous function of degree 3. \ \
Solution :
\ The function
is a homogeneous function of degree 3.