# How do you use the Binomial Theorem to expand (x+5)^5?

Jun 10, 2017

${x}^{5} + 25 {x}^{4} + 250 {x}^{3} + 1250 {x}^{2} + 3125 x + 3125$

#### Explanation:

1
1,1
1,2,1
1,3,3,1
1,4,6,4,1
1,5,10,10,5,1

$1 {x}^{5} + 5 {x}^{4} \cdot 5 + 10 {x}^{3} \cdot {5}^{2} + 10 {x}^{2} \cdot {5}^{3} + 5 x \cdot {5}^{4} + 1 \cdot {5}^{5}$