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

User Gco
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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
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2.8k points
23 votes
23 votes

Answer:

16 terms

Step-by-step explanation:

just is

User BitDrink
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3.0k points