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

The solution to simplify+(-2+3i)/(4+2i) is -1/10+4/5 i

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

simplify

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

- \frac{1}{10} + \frac{4}{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{- 2 + 16 i}{20}

= \frac{- 2 + 16 i}{20}

Apply the fraction rule:

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

= \frac{- 2}{20} + \frac{16}{20} i

Simplify

\frac{- 2}{20} + \frac{16}{20} i : - \frac{1}{10} + \frac{4}{5} i

= - \frac{1}{10} + \frac{4}{5} i

\frac{1}{4} \times \frac{2}{5}

- 1 \times \frac{1}{3}

Γ (7)

\frac{1}{3} \times 30

What is simplify+(-2+3i)/(4+2i) ?
The solution to simplify+(-2+3i)/(4+2i) is -1/10+4/5 i