Solve 1/(1-i) - ScanMath

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Type your math problem... 1/(1-i)

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Question

Simplify the expression

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

Evaluate

\frac{1}{1 - i}

Multiply by the Conjugate

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

Calculate

More Steps

Evaluate

(1 - i) (1 + i)

Use (a - b) (a + b) = a^{2} - b^{2} to simplify the product

1^{2} - i^{2}

Evaluate the power

1 - i^{2}

Evaluate the power

1 - (- 1)

Calculate

2

\frac{1 + i}{2}

Solution

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

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