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Popular >

simplify (4+4i)^2

Solution

simplify

(4 + 4 i)^{2}

Solution

32 i

Solution steps

(4 + 4 i)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(4 + 4 i)^{2} = 4^{2} + 2 \cdot 4 \cdot 4 i + (4 i)^{2}

= 4^{2} + 2 \cdot 4 \cdot 4 i + (4 i)^{2}

Simplify

4^{2} + 2 \cdot 4 \cdot 4 i + (4 i)^{2} : 32 i

= 32 i

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Frequently Asked Questions (FAQ)

What is (4+4i)^2 ?
The solution to (4+4i)^2 is 32i