Kuinka laskea Binomial Expansion

Mikä on Binomial Expansion?

Binomial expansion uses the binomial theorem to expand expressions like (a + b)ⁿ into a polynomial sum. Pascal's triangle or the formula with binomial coefficients provides all terms.

Kaava

(a + b)ⁿ = Σ C(n,k) × aⁿ⁻ᵏ × bᵏ for k=0 to n

Vaiheittainen opas

1Input the binomial (a + b) and power n
2Calculate binomial coefficients C(n,k)
3Expand each term and sum them

Ratkaistut esimerkit

Syöte

(x + 2)³

Tulos

x³ + 6x² + 12x + 8

Using C(3,k) coefficients: 1, 3, 3, 1

Yleisiä virheitä vältettäväksi

✕Incorrect binomial coefficients
✕Wrong power distribution in terms

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