The solution to (4i)/(i-1) is 2-2i

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simplify (4i)/(i-1)

Solution

simplify

\frac{4 i}{i - 1}

2 - 2 i

Solution steps

\frac{4 i}{i - 1}

Rewrite

i - 1

in standard complex form:

- 1 + i

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

Multiply by the conjugate

\frac{- 1 - i}{- 1 - i}

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

Simplify

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

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

Rewrite in standard complex form:

2 - 2 i

= 2 - 2 i

8128

- 7 (- 9)

6 x^{3} + 3 x^{2} - 12 x

(- 8) (- 2)

\frac{1}{3} + \frac{3}{7}