OCR MATHS OFFICIAL > Binomial Expansion > Flashcards
Binomial coefficient
nCr = n!/r!(n-r)!
Binomial expansion formula, (1+x)^k =
1 + nx + n(n-1)x^2 / 2! + n(n-1)(n-2)x^3 / 3! for mod(x) < 1
Binomial expansion formula, (a+bx)^n =
a^n(1+bx/a)^n for mod(bx/a) < 1