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Popular >

simplify (9-2i)^2

Solution

simplify

(9 - 2 i)^{2}

Solution

77 - 36 i

Solution steps

(9 - 2 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

9^{2} - 2 \cdot 9 \cdot 2 i + (2 i)^{2} : - 36 i + 77

= - 36 i + 77

Rewrite in standard complex form:

77 - 36 i

= 77 - 36 i

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Frequently Asked Questions (FAQ)

What is (9-2i)^2 ?
The solution to (9-2i)^2 is 77-36i