Evaluate `x^4-4x^3 + 4x^2 + 8x + 44`, when `x = 3 + 2i`

Explanation

Given:`x= 3 + 2i`

Then we have to find
`x^4-4x^3 + 4x^2 + 8x + 44`

So,

`x^4-4x^3 + 4x^2 + 8x + 44=(3 + 2i)^4-4(3 + 2i)^3+4(3 + 2i)^2+8(3 + 2i)+44`

`x^4-4x^3 + 4x^2 + 8x + 44=(3 + 2i)^2(3+2i)^2-4(3+2i)(3 + 2i)^2+4(3 + 2i)^2+8(3 + 2i)+44
`

`x^4-4x^3 + 4x^2 + 8x + 44=(9+4i^2+12i)(9+4i^2+12i)-4(3+2i)(9+4i^2+12i)+4(9+4i^2+12i)+24+16i+44`

...