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Popular >

simplify (2+4i)^2

Solution

simplify

(2 + 4 i)^{2}

Solution

- 12 + 16 i

Solution steps

(2 + 4 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

2^{2} + 2 \cdot 2 \cdot 4 i + (4 i)^{2} : 16 i - 12

= 16 i - 12

Rewrite in standard complex form:

- 12 + 16 i

= - 12 + 16 i

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Frequently Asked Questions (FAQ)

What is (2+4i)^2 ?
The solution to (2+4i)^2 is -12+16i