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

The solution to (2-i)/(3+2i) is 4/13-7/13 i

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

simplify

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

\frac{4}{13} - \frac{7}{13} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 2 - i ) ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )} : \frac{4 - 7 i}{13}

= \frac{4 - 7 i}{13}

Rewrite in standard complex form:

\frac{4}{13} - \frac{7}{13} i

= \frac{4}{13} - \frac{7}{13} i

(3 y - 2)^{3}

\frac{1}{x + 2} + \frac{1}{x + 3}

\frac{1}{x + 2} + \frac{1}{x - 2}

- 21 \div 3

\frac{9}{8} \cdot \frac{3}{8}