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)pnq0+(n1)pn-1q1++(ni)pn-iqi++(nn)p0qn
= i=0n(ni)pn-iqi.