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

$$( 1 + i ) ^ { 2 } ( 1 - i ) ^ { 2 }$$

Evaluate

$$4$$

Solution Steps

Calculate 1+i to the power of 2 and get 2i.

$$2i\left(1-i\right)^{2}$$

Calculate 1-i to the power of 2 and get -2i.

$$2i\times \left(-2i\right)$$

Multiply 2i and -2i to get 4.

$$4$$

Real Part

$$4$$

Solution Steps

Calculate 1+i to the power of 2 and get 2i.

$$Re(2i\left(1-i\right)^{2})$$

Calculate 1-i to the power of 2 and get -2i.

$$Re(2i\times \left(-2i\right))$$

Multiply 2i and -2i to get 4.

$$Re(4)$$

The real part of 4 is 4.

$$4$$