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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)?

User Yuni
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2 Answers

6 votes

Answer:

YESSSSSSSSSSSSSSSSSSSSS

Explanation:

User Jisoo
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4 votes

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

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)

User Henk
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