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anonymous
 one year ago
What is a binomial theorem?
anonymous
 one year ago
What is a binomial theorem?

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madhu.mukherjee.946
 one year ago
Best ResponseYou've already chosen the best response.0In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power (x + y)n into a sum involving terms of the form a xb yc, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending on n and b. For example, (x+y)^4 \;=\; x^4 \,+\, 4 x^3y \,+\, 6 x^2 y^2 \,+\, 4 x y^3 \,+\, y^4.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh... those are big numbers...

madhu.mukherjee.946
 one year ago
Best ResponseYou've already chosen the best response.0yeah ....did it help you

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Not really, that is exactly how my workbook explains it, and I didn't get that either.

madhu.mukherjee.946
 one year ago
Best ResponseYou've already chosen the best response.0I could never remember the formula for the Binomial Theorem, so instead, I just learned how it worked. I noticed that the powers on each term in the expansion always added up to whatever n was, and that the terms counted up from zero to n. Returning to our intial example of (3x – 2)10, the powers on every term of the expansion will add up to 10, and the powers on the terms will increment by counting up from zero to 10: (3x – 2)10 = 10C0 (3x)10–0(–2)0 + 10C1 (3x)10–1(–2)1 + 10C2 (3x)10–2(–2)2 + 10C3 (3x)10–3(–2)3 + 10C4 (3x)10–4(–2)4 + 10C5 (3x)10–5(–2)5 + 10C6 (3x)10–6(–2)6 + 10C7 (3x)10–7(–2)7 + 10C8 (3x)10–8(–2)8 + 10C9 (3x)10–9(–2)9 + 10C10 (3x)10–10(–2)10

HannahA
 one year ago
Best ResponseYou've already chosen the best response.1a formula for finding any power of a binomial without multiplying at length. this might help: khan academy is my favorite https://www.khanacademy.org/math/algebra2/polynomial_and_rational/binomial_theorem/v/binomialtheorem
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