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Popular >

simplify (-3+6i)^2

Solution

simplify

(- 3 + 6 i)^{2}

Solution

- 27 - 36 i

Solution steps

(- 3 + 6 i)^{2}

Apply Perfect Square Formula:

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

(- 3 + 6 i)^{2} = (- 3)^{2} + 2 (- 3) \cdot 6 i + (6 i)^{2}

= (- 3)^{2} + 2 (- 3) \cdot 6 i + (6 i)^{2}

Simplify

(- 3)^{2} + 2 (- 3) \cdot 6 i + (6 i)^{2} : - 36 i - 27

= - 36 i - 27

Rewrite in standard complex form:

- 27 - 36 i

= - 27 - 36 i

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Frequently Asked Questions (FAQ)

What is (-3+6i)^2 ?
The solution to (-3+6i)^2 is -27-36i