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Popular >

simplify 2/(1-i)

Solution

simplify

\frac{2}{1 - i}

Solution

1 + i

Solution steps

\frac{2}{1 - i}

Multiply by the conjugate

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

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

Simplify

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

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

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

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

Simplify

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

= 1 + i

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Frequently Asked Questions (FAQ)

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