What is (2(1-2i)-3)/((1-2i)-1) ?

The solution to (2(1-2i)-3)/((1-2i)-1) is 2-1/2 i

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simplify (2(1-2i)-3)/((1-2i)-1)

simplify

\frac{2 ( 1 - 2 i ) - 3}{( 1 - 2 i ) - 1}

2 - \frac{1}{2} i

Solution steps

\frac{2 ( 1 - 2 i ) - 3}{( 1 - 2 i ) - 1}

Apply rule:

(a) = a

(1 - 2 i) = 1 - 2 i

= \frac{2 ( 1 - 2 i ) - 3}{1 - 2 i - 1}

Expand

2 (1 - 2 i) - 3 : - 4 i - 1

= \frac{- 4 i - 1}{1 - 2 i - 1}

Simplify

1 - 2 i - 1 : - 2 i

= \frac{- 4 i - 1}{- 2 i}

Cancel

\frac{- 4 i - 1}{- 2 i} : \frac{4 i + 1}{2 i}

= \frac{4 i + 1}{2 i}

Rewrite

4 i + 1

in standard complex form:

1 + 4 i

= \frac{1 + 4 i}{2 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 1 + 4 i ) ( - i )}{2 i ( - i )}

Simplify

\frac{( 1 + 4 i ) ( - i )}{2 i ( - i )} : \frac{- i + 4}{2}

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

Rewrite in standard complex form:

2 - \frac{1}{2} i

= 2 - \frac{1}{2} i

- 5 x \geq 30

5 x + 12 = 0

\frac{s ^{5} t ^{3}}{s ^{7} t ^{2}}

- \frac{1}{2} x \leq \frac{- 9}{4} + \frac{7}{5} x

\frac{1}{8} \cdot \frac{3}{2}

What is (2(1-2i)-3)/((1-2i)-1) ?
The solution to (2(1-2i)-3)/((1-2i)-1) is 2-1/2 i