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Popular >

simplify (9-6i)^2

Solution

simplify

(9 - 6 i)^{2}

Solution

45 - 108 i

Solution steps

(9 - 6 i)^{2}

Apply Perfect Square Formula:

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

(9 - 6 i)^{2} = 9^{2} - 2 \cdot 9 \cdot 6 i + (6 i)^{2}

= 9^{2} - 2 \cdot 9 \cdot 6 i + (6 i)^{2}

Simplify

9^{2} - 2 \cdot 9 \cdot 6 i + (6 i)^{2} : - 108 i + 45

= - 108 i + 45

Rewrite in standard complex form:

45 - 108 i

= 45 - 108 i

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Frequently Asked Questions (FAQ)

What is (9-6i)^2 ?
The solution to (9-6i)^2 is 45-108i