What do you notice about your expansions for (u + v)^4 and (u + v)^5? does your observation hold for other
powers of (u + v)?

Yes, the observation holds for other powers of (u+v)

Step-by-step explanation:

After the binomial expansion of both functions, it is noted that the function with power of 4 contains summation of 5terms while the function with power of 5 contains summation of 6terms. This is also evident in the terms of the coefficients according to the pascal triangle. Generally, If the power of the function is 'x' then the number of terms and coefficient will be x+1.

This also holds for other powers of (u+v)

14

step-by-step explanation:

14 x 3 = 42