Solve pi/2left(left(-2-2iright)^2+4left(2-2iright)right)

$$\frac{ \pi }{ 2 } \left( { \left(-2-2i \right) }^{ 2 } +4 \left( 2-2i \right) \right)$$

Evaluate

$$4\pi \approx 12.566370614$$

Solution Steps

Calculate -2-2i to the power of 2 and get 8i.

$$\frac{\pi }{2}\left(8i+4\left(2-2i\right)\right)$$

Multiply 4 and 2-2i to get 8-8i.

$$\frac{\pi }{2}\left(8i+\left(8-8i\right)\right)$$

Add 8i and 8-8i to get 8.

$$\frac{\pi }{2}\times 8$$

Cancel out 2, the greatest common factor in 8 and 2.

$$4\pi$$

Expand

$$4\pi$$

Solution Steps

Calculate -2-2i to the power of 2 and get 8i.

$$\frac{\pi }{2}\left(8i+4\left(2-2i\right)\right)$$

Multiply 4 and 2-2i to get 8-8i.

$$\frac{\pi }{2}\left(8i+\left(8-8i\right)\right)$$

Add 8i and 8-8i to get 8.

$$\frac{\pi }{2}\times 8$$

Cancel out 2, the greatest common factor in 8 and 2.

$$4\pi$$