Solve -2i(6+6i)

$$- 2 i ( 6 + 6 i )$$

Evaluate

$$12-12i$$

Solution Steps

Multiply -2i times 6+6i.

$$-2i\times 6-2\times 6i^{2}$$

By definition, i^{2} is -1.

$$-2i\times 6-2\times 6\left(-1\right)$$

Do the multiplications. Reorder the terms.

$$12-12i$$

Real Part

$$12$$

Solution Steps

Multiply -2i times 6+6i.

$$Re(-2i\times 6-2\times 6i^{2})$$

By definition, i^{2} is -1.

$$Re(-2i\times 6-2\times 6\left(-1\right))$$

Do the multiplications in -2i\times 6-2\times 6\left(-1\right). Reorder the terms.

$$Re(12-12i)$$

The real part of 12-12i is 12.

$$12$$