Question

Find the missing term

Answer 1

You have : \(y = 1 + i\)

Subtract 1 both sides, you get :

\(\color{red}{ y - 1 } = i\)

Cube both sides and simplify further, you will get the required term.
\(\color{red}{ (y-1)^3} = -i\)

Note: \(i^3 = i \times i \times i = i^2 \times i = -1 \times i = -i\)

Answer 2

\[(1+i)^{3}=?\]

Answer 3

You need to know what y^2 is. (1+i)^2. Can you calculate that?

Answer 4

-3y+1?

Answer 5

Is that my final answer?

Answer 6

After getting that and making a record of that, calculate y^3.

Answer 7

no check please

Answer 8

Substitute those into y^3 - 3y^2 + (?) -1 = i and then you will be able to determine what should go into the parenthesis.

Answer 9

So 3y will be my final answer

Answer 10

I will start with showing you how to get y^2