Follow the outline below and use mathematical induction to prove the Binomial Theorem: (a+b)^n = [ n; 0 ] a^n + [ n; 1 ] a^(n-1)b + [ n; 2 ] a^(n-2)b^2 + ⋯ + [ n; n-1 ] ab^(n-1) + [ n; n ] b^n. Multiply both sides of the statement assumed to be true by a+b. Add exponents on the left. On the right, distribute a and b, respectively.