Express - 1 3 -i 7 3 - 4-i 1 3 - - -4 3 -i in the form of a-ib

[ ( 13 + i73) + ( 4 + i13)] ( 43 + i) =13+73i+4+13i+43 i =173+53i ...

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Algebra of Complex Numbers

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Question

Express $[(\frac{1}{3} + i \frac{7}{3}) + (4 + i \frac{1}{3})] - (\frac{- 4}{3} + i)$ in the form of $a + i b$

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a + i b :

[(\frac{1}{3} + i \frac{7}{3}) + (4 + i \frac{1}{3})] - (- \frac{4}{3} + i)

3 (7 + i 7) + i (7 + i 7)

a + i b

A + i B

\frac{3 + 5 i}{2 - 3 i}

\frac{\sqrt{3} - i \sqrt{2}}{2 \sqrt{3} - i \sqrt{2}}

\frac{1 + i}{1 - i}

\frac{{(1 + i)}^{2}}{3 - i}

\frac{{(a + i b)}^{2}}{a - i b} - \frac{{(a - i b)}^{2}}{a + i b}

Express the complex numbers in the form of $a + i b$ :

$((\frac{1}{3} + \frac{7}{3} i) - (4 + \frac{1}{3} i)) - (\frac{- 4}{3} + i)$

a + i b :

3 (7 + 7 i) + i (7 + i 7)

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