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Popular >

simplify (12-9i)^2

Solution

simplify

(12 - 9 i)^{2}

Solution

63 - 216 i

Solution steps

(12 - 9 i)^{2}

Apply Perfect Square Formula:

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

(12 - 9 i)^{2} = 1 2^{2} - 2 \cdot 12 \cdot 9 i + (9 i)^{2}

= 1 2^{2} - 2 \cdot 12 \cdot 9 i + (9 i)^{2}

Simplify

1 2^{2} - 2 \cdot 12 \cdot 9 i + (9 i)^{2} : - 216 i + 63

= - 216 i + 63

Rewrite in standard complex form:

63 - 216 i

= 63 - 216 i

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Frequently Asked Questions (FAQ)

What is (12-9i)^2 ?
The solution to (12-9i)^2 is 63-216i