Reduce the polynomial equation to its simplest form.
4x^4 + 24x^3 + 48x^2 + 32x
4x^4 + 24x^3 + 48x^2 + 32x = 4x(x^3 + 6x^2 + 12x + 8) = 4x(x + 2)^3
Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
Reduce the polynomial equation to its simplest form.

### Response:
4x^4 + 24x^3 + 48x^2 + 32x = 4x(x^3 + 6x^2 + 12x + 8) = 4x(x + 2)^3