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Question

The value of (3 + 4i) (6 - 7i) is


A

46+3i

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B

18-28i

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C

46-3i

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D

18+28i

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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


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