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

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

Simplify

3^{2} + 2 \cdot 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