Simplify each of the following and express it in the form a + ib :
Given:
We re – write the above equation
[∵, i2 = -1]
Now, we know that,
(a + b)(a – b) = (a2 – b2)
Here, a = 5 and b = i√3
= (5)2 – (i√3)2
= 25 – (3i2)
= 25 – [3 × (-1)]
= 25 + 3
= 28 + 0
= 28 + 0i