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Popular >

simplify (1-i)/(9+i)

Solution

simplify

\frac{1 - i}{9 + i}

Solution

\frac{4}{41} - \frac{5}{41} i

Solution steps

\frac{1 - i}{9 + i}

Multiply by the conjugate

\frac{9 - i}{9 - i}

= \frac{( 1 - i ) ( 9 - i )}{( 9 + i ) ( 9 - i )}

Simplify

\frac{( 1 - i ) ( 9 - i )}{( 9 + i ) ( 9 - i )} : \frac{8 - 10 i}{82}

= \frac{8 - 10 i}{82}

Apply the fraction rule:

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

= \frac{8}{82} + \frac{- 10}{82} i

Simplify

\frac{8}{82} + \frac{- 10}{82} i : \frac{4}{41} - \frac{5}{41} i

= \frac{4}{41} - \frac{5}{41} i

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Frequently Asked Questions (FAQ)

What is (1-i)/(9+i) ?
The solution to (1-i)/(9+i) is 4/41-5/41 i