Modified For The Pascal Triangle Multinomial

Abstract

Newton’s Binomial Theorem applied at the rate of 2 with the formula: (a1+a2)n=∑r=0nC(n,r)a1n−ra2r Problems in algebra are not limited binomial. Binomial only is not enough, so that multinomial is necessary. Multinomial Theorem has the formula: (a1+a2+…+ak)n=∑n1,n2,…,nk≥0n!n1!n2!…nk!a1n1a2n2…aknk The use of theorem in binomial problem is less practical so that Pascal Triangle is prefered, for easier use Pascal’s Triangle. Solution of Triangle with the theorem multinomial problem more complicated. By analyzing multinomial through binomial form, can be obtained from modification that allows the Pascal triangle. The focus of the discussion is to determine Pascal Modified Triangular shape of a multinomial. This basic research using descriptive method, by analyzing the relevant theory is based on the study of literature. The results obtained are Modified Pascal’s Triangle, which facilitates the work in the multinomial.