Question #8ffa7 Precalculus The Binomial Theorem Factorial Identities 1 Answer Noah G Oct 14, 2016 Just expand the factorials. #(n + 1)(n) + (n + 1)(n) xx n+ 1 = (n + 2)(n + 1)(n)# #n^2 + n + (n^2 + n)(n + 1) = (n^2 + 3n + 2)(n)# #n^2 + n + n^3+ n^2 + n^2 + n = n^3 + 3n^2 + 2n# #n^3 + 3n^2 + 2n = n^3 + 3n^2 + 2n# Hopefully this helps! Answer link Related questions What is a factorial? How do I find the factorial of a given number? How can the factorial of 0 be 1? How do I do factorials on a TI-84? What are factorials used for? What factorial equals 720? What is the factorial of 0? What is the factorial of 10? What is the factorial of 5? What is the factorial of 9? See all questions in Factorial Identities Impact of this question 1657 views around the world You can reuse this answer Creative Commons License