perform the indicated operation of the following complex number (3,2)(9,3) for class 9
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Step-by-step explanation:
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Given data:
Two complex numbers (3, 2) and (9, 3)
To find:
Their product
Step-by-step explanation:
The two given complex numbers can be written as
(3, 2) = 3 + 2i and (9, 3) = 9 + 3i
Now (3, 2) × (9, 3)
= (3 + 2i) × (9 + 3i)
= 3 × (9 + 3i) + 2i (9 + 3i) [distributive property)
= 27 + 9i + 18i + 6i^2
= 27 + 27i - 6, since i^2 = - 1
= 27 - 6 + 27i
= 21 + 27i
= (21, 27)
Final answer:
(3, 2) (9, 3) = (21, 27)
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