What is (5i)/((1-i)(2-i)(3-i)) ?

The solution to (5i)/((1-i)(2-i)(3-i)) is -1/2

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simplify (5i)/((1-i)(2-i)(3-i))

simplify

\frac{5 i}{( 1 - i ) ( 2 - i ) ( 3 - i )}

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

\frac{5 i}{( 1 - i ) ( 2 - i ) ( 3 - i )}

(1 - i) (2 - i) (3 - i) = - 10 i

= \frac{5 i}{- 10 i}

Cancel the common factor:

i

= \frac{5}{- 10}

Cancel the numbers:

\frac{5}{- 10} = \frac{1}{- 2}

= \frac{1}{- 2}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{1}{2}

1 - \frac{7}{2}

\frac{3}{4} (x - 2) + \frac{1}{2} (\frac{x}{2} - \frac{x}{3} + \frac{1}{2})

72 x^{3} y^{4}

2900

x^{3} - 4 x