Question

If y = 1 i, then y3 − 3y2

Answer 1

y = 1i = i

y³ - 3y²

(i)³ - 3(i)² i² = -1, i³ = i²(i) = -i

i³ - 3i²

-i - 3(-1)

-i + 3

Answer 2

y^3-3y^2

(1+i)^3-3(1+i)^2

remember
(1+i)^3=(1+i)(1+i)^2

(1+i)(1+i)^2-3(1+i)^2
factor out (1+i)^2
(1+i)^2((1+i)-3)
(1+i)^2(1+i-3)
(1+i)^2(i-2)
(1+i)(1+i)(i-2)
(1+2i-1)(i-2)
(2i)(i-2)
-2-4i