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Question
Express the given complex number in the form a + ib:
`[(1/3 + i 7/3) + (4 + i 1/3)] -(-4/3 + i)`
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Solution
`[(1/3 + i 7/3) + (4 + i 1/3)] -(-4/3 + i)`
= `[(1/3 + 4) + (7/3 + 1/3)] - ((-4)/3 + i)`
= `((1 + 12)/3) + i ((7 + 1)/3) + 4/3 - i`
= `13/3 + i 8/3 + 4/3 - i`
= `13/3 + 4/3 + i( 8/3 - 1)`
= `(13 + 4)/3 + i ((8 - 3)/3)`
= `17/3 + 5/3 i`
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