What is (1-i)/(4-3i) ?

The solution to (1-i)/(4-3i) is 7/25-1/25 i

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simplify (1-i)/(4-3i)

simplify

\frac{1 - i}{4 - 3 i}

\frac{7}{25} - \frac{1}{25} i

Solution steps

\frac{1 - i}{4 - 3 i}

Multiply by the conjugate

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

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

Simplify

\frac{( 1 - i ) ( 4 + 3 i )}{( 4 - 3 i ) ( 4 + 3 i )} : \frac{7 - i}{25}

= \frac{7 - i}{25}

Rewrite in standard complex form:

\frac{7}{25} - \frac{1}{25} i

= \frac{7}{25} - \frac{1}{25} i

- 4 - 36

0. 1^{7}

\frac{16}{64}

(5 ab)^{\frac{3}{2}}

- \frac{4}{5 - 2 2}