What is ((4+2i))/((1+i)) ?

The solution to ((4+2i))/((1+i)) is 3-i

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simplify ((4+2i))/((1+i))

simplify

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

3 - i

Solution steps

\frac{4 + 2 i}{1 + i}

Multiply by the conjugate

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

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

Simplify

\frac{( 4 + 2 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{6 - 2 i}{2}

= \frac{6 - 2 i}{2}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{6}{2} + \frac{- 2}{2} i

Simplify

\frac{6}{2} + \frac{- 2}{2} i : 3 - i

= 3 - i

\frac{20}{88}

(4 - 4 sin (x)) (4 + 4 sin (x))

(2 w - p) (2 p + w)

\frac{5}{9} \cdot \frac{9}{8}

(p^{2} + p - 6) (p^{2} - 2 p + 1)