simplify 1/(1-i)

Solution

simplify

\frac{1}{1 - i}

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

Solution steps

\frac{1}{1 - i}

Multiply by the conjugate

\frac{1 + i}{1 + i}

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

Simplify

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

= \frac{1 + i}{2}

Rewrite in standard complex form:

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

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

c^{2} + 2 c + 1

f (2) = \frac{3 ( 2 )}{( 2 ) ^{2} - 1}

7 x^{2} + x - 6 = 0

8 x^{3} y^{2}

\frac{a ^{2} - 9}{a ^{2} + a - 12}