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Popular >

expand 2/(2-i)

Solution

expand

\frac{2}{2 - i}

Solution

\frac{4}{5} + i \frac{2}{5}

Solution steps

\frac{2}{2 - i}

Multiply by the conjugate

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

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

(2 - i) (2 + i) = 5

= \frac{2 ( 2 + i )}{5}

Rewrite

\frac{2 ( 2 + i )}{5}

in standard complex form:

\frac{4}{5} + \frac{2}{5} i

= \frac{4}{5} + \frac{2}{5} i

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Frequently Asked Questions (FAQ)

What is expand 2/(2-i) ?
The solution to expand 2/(2-i) is 4/5+i 2/5