Q. 1 G4.0( 3 Votes )

Simplify each of the following and express it in the form a + ib :

(3 + 4i) (2 – 3i)

Answer :

Given: (3 + 4i) (2 – 3i)

Firstly, we open the brackets


3 × 2 + 3 × (-3i) + 4i × 2 – 4i × 3i


= 6 – 9i + 8i – 12i2


= 6 – i – 12(-1) [, i2 = -1]


= 6 – i + 12


= 18 – i



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