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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

- \frac{1}{2} + \frac{3}{2} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

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

= \frac{- 1 + 3 i}{2}

Rewrite in standard complex form:

- \frac{1}{2} + \frac{3}{2} i

= - \frac{1}{2} + \frac{3}{2} i

sec (x) - cos (x)

3 x^{3} - 6 x - 9

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

\frac{1}{3 n} - \frac{1}{n} + \frac{3}{2 n}

lo g_{7} (2) + 2 lo g_{7} (6) - lo g_{7} (9)