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Popular >

simplify (6+7i)^2

Solution

simplify

(6 + 7 i)^{2}

Solution

- 13 + 84 i

Solution steps

(6 + 7 i)^{2}

Apply Perfect Square Formula:

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

(6 + 7 i)^{2} = 6^{2} + 2 \cdot 6 \cdot 7 i + (7 i)^{2}

= 6^{2} + 2 \cdot 6 \cdot 7 i + (7 i)^{2}

Simplify

6^{2} + 2 \cdot 6 \cdot 7 i + (7 i)^{2} : 84 i - 13

= 84 i - 13

Rewrite in standard complex form:

- 13 + 84 i

= - 13 + 84 i

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Frequently Asked Questions (FAQ)

What is (6+7i)^2 ?
The solution to (6+7i)^2 is -13+84i