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Popular >

simplify 2/(2-i)-2/(2+i)

Solution

simplify

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

Solution

\frac{4}{5} i

Solution steps

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

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

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

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

Join

\frac{4 + 2 i}{5} - \frac{4 - 2 i}{5} : \frac{4 + 2 i - ( 4 - 2 i )}{5}

= \frac{4 + 2 i - ( 4 - 2 i )}{5}

Simplify

4 + 2 i - (4 - 2 i) : 4 i

= \frac{4 i}{5}

Rewrite in standard complex form:

\frac{4}{5} i

= \frac{4}{5} i

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Frequently Asked Questions (FAQ)

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