+0

# how to expand binomials?

+2
33
1
+6

hey everyone stuck in a lesson trying to work out a couple questions. does anyone know how to expand binomials? if so thanks!

Feb 23, 2023

#1
+118455
+2

sure it is not that difficult.

I'll do it with a semi-specific example

$$(a+b)^4= \binom{4}{0} a^4 * b^{0}\;+\;\binom{4}{1} a^3 * b^{1}\;+\;\binom{4}{2} a^2 * b^{2}\;+\; \binom{4}{3} a^1 * b^{3}\;+\;\binom{4}{4} a^0 * b^{4} \\~\\ (a+b)^4=\displaystyle \sum_{n=0}^4\;\;\binom{4}{n}a^{4-n}*b^n$$

Do you see the pattern?

Feb 25, 2023