Simplify each of the following and express it in the form a + ib :
Given:
We re – write the above equation
[∵, i2 = -1]
Now, open the brackets,
= -2 × (-3) + (-2) × 2i√3 + i√3 × (-3) + i√3 × 2i√3
= 6 – 4i√3 – 3i√3 + 6i2
= 6 – 7i√3 + [6 × (-1)] [∵, i2 = -1]
= 6 – 7i√3 – 6
= 0 – 7i√3