What is ((1+i))/((1-i)) ?

The solution to ((1+i))/((1-i)) is i

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

simplify

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

i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

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

= \frac{2 i}{2}

Cancel the common factor:

2

= i

\frac{( 3 ab ) ^{3}}{2 a b ^{2} ( 6 a ) ^{2}}

\frac{1}{5} (3 x + 2) - \frac{1}{3} (x + 4) = 6

4 (x - 5)^{2} + 8 (x - 5)

x^{2} + 2 x - 10 = 0