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Popular >

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

Solution

simplify

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

Solution

\frac{3}{5} - \frac{4}{5} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 2 - i ) ( 2 - i )}{( 2 + i ) ( 2 - i )} : \frac{- 4 i + 3}{5}

= \frac{- 4 i + 3}{5}

Rewrite in standard complex form:

\frac{3}{5} - \frac{4}{5} i

= \frac{3}{5} - \frac{4}{5} i

Popular Examples

factor x^2+19x+90x factor

x^{2} + 19 x + 90 x

x^{2} + 13 = - 7 x

simplify log_{2}(2)simplify

lo g_{2} (2)

2/5 (a+3)-a>= 9/5 (a-2)-3

\frac{2}{5} (a + 3) - a \geq \frac{9}{5} (a - 2) - 3

(2x-1)/5-5=(x+4)/3-7/2

\frac{2 x - 1}{5} - 5 = \frac{x + 4}{3} - \frac{7}{2}

Frequently Asked Questions (FAQ)

What is (2-i)/(2+i) ?
The solution to (2-i)/(2+i) is 3/5-4/5 i