Question

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

Answer 1

`color(green)(81x^4 + 216x^3y + 216 x^2y^2 + 96xy^3 + 16y^4)`

Explanation:

As per Pascal's Triangle

coefficients will be 1 4 6 4 1

`(3x + 2y)^4 = 1 * (3x)^4 (2y)^0 + 4 (3x)^3 (2y) + 6 (3y)^2 (2y)^2 + 4 (3x) (2y)^3 + 1 (3x)^0 (2y)^4`

`color(green)(81x^4 + 216x^3y + 216 x^2y^2 + 96xy^3 + 16y^4)`