Home/Algebra/Notable products and identities/Binomial theorem4. Notable products and identitiesBinomial theoremLevel: intermedioIn 4. Notable products and identitiesFormulaCopy LaTeX(a+b)n=∑k=0n(nk)an−kbk(a+b)^n=\sum_{k=0}^{n}\binom nk a^{n-k}b^k(a+b)n=k=0∑n(kn)an−kbkTagsalgebraalgebra formulaidentitiesproducts notableDetailGeneralizes powers of binomials.Explore the ideaFound an error? Contact us.Related formulasRelatedLinearity of summation∑(ak+bk)=∑ak+∑bk;∑cak=c∑ak\sum(a_k+b_k)=\sum a_k+\sum b_k;\quad \sum ca_k=c\sum a_k∑(ak+bk)=∑ak+∑bk;∑cak=c∑akOpen formulaOpen in section