simplify 6/(4-3i)

Solution

simplify

\frac{6}{4 - 3 i}

\frac{24}{25} + \frac{18}{25} i

Solution steps

\frac{6}{4 - 3 i}

Multiply by the conjugate

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

= \frac{6 ( 4 + 3 i )}{( 4 - 3 i ) ( 4 + 3 i )}

Simplify

\frac{6 ( 4 + 3 i )}{( 4 - 3 i ) ( 4 + 3 i )} : \frac{24 + 18 i}{25}

= \frac{24 + 18 i}{25}

Rewrite in standard complex form:

\frac{24}{25} + \frac{18}{25} i

= \frac{24}{25} + \frac{18}{25} i

4 \times 2 x^{2}

\frac{5}{6} \times 5

(2 x - 3 y)^{6}

121 - 49 x^{6} y^{2}

16 \times 4