Simplify each of the following and express it in the form a + ib :
2(3 + 4i) + i(5 – 6i)
Given: 2(3 + 4i) + i(5 – 6i)
Firstly, we open the brackets
2 × 3 + 2 × 4i + i × 5 – i × 6i
= 6 + 8i + 5i – 6i2
= 6 + 13i – 6(-1) [∵, i2 = -1]
= 6 + 13i + 6
= 12 + 13i
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