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Popular >

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

Solution

simplify

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

Solution

- 2 i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( 2 - 2 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{- 4 i}{2}

= \frac{- 4 i}{2}

Divide the numbers:

\frac{4}{2} = 2

= - 2 i

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Frequently Asked Questions (FAQ)

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