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Question
The value of (3 + 4i) (6 - 7i) is
The value of (3 + 4i) (6 - 7i) is
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Solution
The correct option is A 46+3i
(a+ ib) (c + id) = ac + i (ad) +i (bc) - bd
= (ac - bd) + i (ad + bc)
(3 + 4i) (6 - 7i) = (3 x 6) + (3 x - 7i) + (4i x 6) + (4i x - 7i)
= 18 - 21i + 24i + 28
= 46 + 3i
46+3i
(a+ ib) (c + id) = ac + i (ad) +i (bc) - bd
= (ac - bd) + i (ad + bc)
(3 + 4i) (6 - 7i) = (3 x 6) + (3 x - 7i) + (4i x 6) + (4i x - 7i)
= 18 - 21i + 24i + 28
= 46 + 3i
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