Home/Algebra/Algebraic expressions/Product of polynomials3. Algebraic expressionsProduct of polynomialsLevel: fundamentalIn 3. Algebraic expressionsFormulaCopy LaTeX(∑iaixi)(∑jbjxj)=∑k(∑i+j=kaibj)xk(\sum_i a_ix^i)(\sum_j b_jx^j)=\sum_k(\sum_{i+j=k}a_ib_j)x^k(i∑aixi)(j∑bjxj)=k∑(i+j=k∑aibj)xkTagsalgebraexpressions algebraicalgebra formulapolynomialsDetailThe coefficients of the product are obtained by convolution.Explore the ideaComputational complexityShow (CS mode)Found an error? Contact us.Related formulasRelatedDistributive propertya(b+c)=ab+aca(b+c)=ab+aca(b+c)=ab+acOpen formulaOpen in sectionRelatedSquare of a sum(a+b)2=a2+2ab+b2(a+b)^2=a^2+2ab+b^2(a+b)2=a2+2ab+b2Open formulaOpen in section