# How do you expand (3x+2y)^4?

Jan 28, 2018

$\textcolor{g r e e n}{81 {x}^{4} + 216 {x}^{3} y + 216 {x}^{2} {y}^{2} + 96 x {y}^{3} + 16 {y}^{4}}$

#### Explanation:

As per Pascal's Triangle

coefficients will be 1 4 6 4 1

${\left(3 x + 2 y\right)}^{4} = 1 \cdot {\left(3 x\right)}^{4} {\left(2 y\right)}^{0} + 4 {\left(3 x\right)}^{3} \left(2 y\right) + 6 {\left(3 y\right)}^{2} {\left(2 y\right)}^{2} + 4 \left(3 x\right) {\left(2 y\right)}^{3} + 1 {\left(3 x\right)}^{0} {\left(2 y\right)}^{4}$

$\textcolor{g r e e n}{81 {x}^{4} + 216 {x}^{3} y + 216 {x}^{2} {y}^{2} + 96 x {y}^{3} + 16 {y}^{4}}$