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Popular >

simplify (i^7-1)/(1+i)

Solution

simplify

\frac{i ^{7} - 1}{1 + i}

Solution

- 1

Solution steps

\frac{i ^{7} - 1}{1 + i}

Multiply by the conjugate

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

= \frac{( i ^{7} - 1 ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( i ^{7} - 1 ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{- 2}{2}

= \frac{- 2}{2}

Divide the numbers:

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

= - 1

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Frequently Asked Questions (FAQ)

What is (i^7-1)/(1+i) ?
The solution to (i^7-1)/(1+i) is -1