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Popular >

simplify (3+2i)/((1+i)^2)

Solution

simplify

\frac{3 + 2 i}{( 1 + i ) ^{2}}

Solution

1 - i \frac{3}{2}

Solution steps

\frac{3 + 2 i}{( 1 + i ) ^{2}}

(1 + i)^{2} = 2 i

= \frac{3 + 2 i}{2 i}

Rationalize

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

= \frac{2 - 3 i}{2}

Rewrite

\frac{2 - 3 i}{2}

in standard complex form:

1 - \frac{3}{2} i

= 1 - \frac{3}{2} i

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Frequently Asked Questions (FAQ)

What is (3+2i)/((1+i)^2) ?
The solution to (3+2i)/((1+i)^2) is 1-i 3/2