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Popular >

simplify (5-6i)^2

Solution

simplify

(5 - 6 i)^{2}

Solution

- 11 - 60 i

Solution steps

(5 - 6 i)^{2}

Apply Perfect Square Formula:

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

(5 - 6 i)^{2} = 5^{2} - 2 \cdot 5 \cdot 6 i + (6 i)^{2}

= 5^{2} - 2 \cdot 5 \cdot 6 i + (6 i)^{2}

Simplify

5^{2} - 2 \cdot 5 \cdot 6 i + (6 i)^{2} : - 60 i - 11

= - 60 i - 11

Rewrite in standard complex form:

- 11 - 60 i

= - 11 - 60 i

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Frequently Asked Questions (FAQ)

What is (5-6i)^2 ?
The solution to (5-6i)^2 is -11-60i