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43 votes
43 votes
How many terms are in this expansion? terms.

User Gco
by
2.3k points

2 Answers

25 votes
25 votes

Final answer:

The number of terms in a binomial expansion is (n + 1), where n is the exponent of the binomial being expanded.

Step-by-step explanation:

The question refers to the number of terms in a binomial expansion. According to the Binomial Theorem, the expansion of (a + b)^n will have (n + 1) terms. This is because when you expand a binomial, the terms start with the exponent n on a and decrease to 0, while the exponent on b starts at 0 and increases to n. Each term in the expansion has a combined exponent of n, leading to a total of (n + 1) terms in the expansion. To determine the exact number of terms, one must know the value of the exponent n.

User Jonathon Jones
by
2.8k points
23 votes
23 votes

Answer:

16 terms

Step-by-step explanation:

just is

User BitDrink
by
3.0k points
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