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Popular >

expand (4n)/((2+2i)^2)

Solution

expand

\frac{4 n}{( 2 + 2 i ) ^{2}}

Solution

\frac{n}{1 + 2 i + i ^{2}}

Solution steps

\frac{4 n}{( 2 + 2 i ) ^{2}}

(2 + 2 i)^{2} = 4 + 8 i + 4 i^{2}

= \frac{4 n}{4 + 8 i + 4 i ^{2}}

Factor

4 + 8 i + 4 i^{2} : 4 (1 + 2 i + i^{2})

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

Divide the numbers:

\frac{4}{4} = 1

= \frac{n}{( 1 + 2 i + i ^{2} )}

Remove parentheses:

(a) = a

= \frac{n}{1 + 2 i + i ^{2}}

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Frequently Asked Questions (FAQ)

What is expand (4n)/((2+2i)^2) ?
The solution to expand (4n)/((2+2i)^2) is n/(1+2i+i^2)