Home page for accesible maths 5.1 Useful mathematical identities

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Binomial expansion

For any positive integer n

(p+q)n = (p+q)⁢…⁢(p+q)
= (n0)⁢pn⁢q0+(n1)⁢pn-1⁢q1+…+(ni)⁢pn-i⁢qi+…+(nn)⁢p0⁢qn
= ∑i=0n(ni)⁢pn-i⁢qi.