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Popular >

simplify (2-i)/(1+i)

Solution

simplify

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

Solution

\frac{1}{2} - \frac{3}{2} i

Solution steps

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

Multiply by the conjugate

\frac{1 - i}{1 - i}

= \frac{( 2 - i ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( 2 - i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{1 - 3 i}{2}

= \frac{1 - 3 i}{2}

Rewrite in standard complex form:

\frac{1}{2} - \frac{3}{2} i

= \frac{1}{2} - \frac{3}{2} i

Popular Examples

simplify (3b^2+18b)/(b+6)*1/(b+8)simplify

\frac{3 b ^{2} + 18 b}{b + 6} \cdot \frac{1}{b + 8}

4 (3 x + 1) = 40 + 3 x

t/(60)*75=60*((t+14))/(60)

\frac{t}{60} \cdot 75 = 60 \cdot \frac{( t + 14 )}{60}

simplify (1+(0.045)/(12))^{12}-1 simplify

(1 + \frac{0.045}{12})^{12} - 1

3 - ∣ 3 w + 9 ∣ = 6

Frequently Asked Questions (FAQ)

What is (2-i)/(1+i) ?
The solution to (2-i)/(1+i) is 1/2-3/2 i