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Popular >

simplify (-3+3i)^2

Solution

simplify

(- 3 + 3 i)^{2}

Solution

- 18 i

Solution steps

(- 3 + 3 i)^{2}

Apply Perfect Square Formula:

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

(- 3 + 3 i)^{2} = (- 3)^{2} + 2 (- 3) \cdot 3 i + (3 i)^{2}

= (- 3)^{2} + 2 (- 3) \cdot 3 i + (3 i)^{2}

Simplify

(- 3)^{2} + 2 (- 3) \cdot 3 i + (3 i)^{2} : - 18 i

= - 18 i

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Frequently Asked Questions (FAQ)

What is (-3+3i)^2 ?
The solution to (-3+3i)^2 is -18i