# How do you expand the binomial (x+1)^4?

Mar 8, 2017

${\left(1 + x\right)}^{4} = 1 + 4 x + 6 {x}^{2} + 4 {x}^{3} + {x}^{4}$

#### Explanation:

Let's say you don't know your Pascal triangle by heart. Here is how to find it.
1
1 1+1 1 =
121
1 1+2 2+1 1 =
1331
1 3+1 3+3 3+1 1=
14641
${\left(1 + x\right)}^{4} = 1 + 4 x + 6 {x}^{2} + 4 {x}^{3} + {x}^{4}$