What is ((1-i)(2-i))/(1-2i) ?

The solution to ((1-i)(2-i))/(1-2i) is 7/5-1/5 i

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simplify ((1-i)(2-i))/(1-2i)

simplify

\frac{( 1 - i ) ( 2 - i )}{1 - 2 i}

\frac{7}{5} - \frac{1}{5} i

Solution steps

\frac{( 1 - i ) ( 2 - i )}{1 - 2 i}

Multiply by the conjugate

\frac{1 + 2 i}{1 + 2 i}

= \frac{( 1 - i ) ( 2 - i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )}

Simplify

\frac{( 1 - i ) ( 2 - i ) ( 1 + 2 i )}{( 1 - 2 i ) ( 1 + 2 i )} : \frac{7 - i}{5}

= \frac{7 - i}{5}

Rewrite in standard complex form:

\frac{7}{5} - \frac{1}{5} i

= \frac{7}{5} - \frac{1}{5} i

- \frac{1}{15} + (- \frac{5}{12})

- (7.4 x - 4 y - 9)

3 (2 a + 5) + 5 (a - 2)

12 ab - 18 a + 6 nb - 9 n

\frac{4}{3 3}