The Binomial Theorem
A formula for quickly expanding an expression like (a + b) raised to any power.
Binomial Theorem
For any positive integer $n$:
$$(a+b)^n = \sum_{r=0}^{n} {^nC_r} \, a^{n-r}b^r$$Pascal's Triangle
The coefficients of a binomial expansion can also be read directly from Pascal's Triangle, where each number is the sum of the two numbers above it.
Lesson 13 of 27