What is (2+3i)/(4+2i) ?

The solution to (2+3i)/(4+2i) is 7/10+2/5 i

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simplify (2+3i)/(4+2i)

simplify

\frac{2 + 3 i}{4 + 2 i}

\frac{7}{10} + \frac{2}{5} i

Solution steps

\frac{2 + 3 i}{4 + 2 i}

Multiply by the conjugate

\frac{4 - 2 i}{4 - 2 i}

= \frac{( 2 + 3 i ) ( 4 - 2 i )}{( 4 + 2 i ) ( 4 - 2 i )}

Simplify

\frac{( 2 + 3 i ) ( 4 - 2 i )}{( 4 + 2 i ) ( 4 - 2 i )} : \frac{14 + 8 i}{20}

= \frac{14 + 8 i}{20}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{14}{20} + \frac{8}{20} i

Simplify

\frac{14}{20} + \frac{8}{20} i : \frac{7}{10} + \frac{2}{5} i

= \frac{7}{10} + \frac{2}{5} i

3 + 2 - 3 + 1

(4 m - 3)^{2}

(3 + i) - (7 - i)

18 x^{3} y^{4} - 12 x^{2} y^{5}