What is binomial theorem
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binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.
The binomial theorem is pretty interesting.
The statement is as follows:
Given the definition of (nCk), the following is true:
(x+y)^n =
(nC0) x^n + (nC1) x^(n-1)y + (nC2) x^(n-2) y^2 + ... (nCn-1)x y^(n-1) + (nCn) y^n
You can write this using Σ notation:
(x+y)^n = Σ (nCk) x^(n-k) y^k
where 0≤k≤n.
The binomial theorem is pretty interesting.
The statement is as follows:
Given the definition of (nCk), the following is true:
(x+y)^n =
(nC0) x^n + (nC1) x^(n-1)y + (nC2) x^(n-2) y^2 + ... (nCn-1)x y^(n-1) + (nCn) y^n
You can write this using Σ notation:
(x+y)^n = Σ (nCk) x^(n-k) y^k
where 0≤k≤n.
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binomial theorem is a formula for funding any power of a binomial without multiplying at length
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