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Popular >

simplify (12-i)^2

Solution

simplify

(12 - i)^{2}

Solution

143 - 24 i

Solution steps

(12 - i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

1 2^{2} - 2 \cdot 12 i + i^{2} : - 24 i + 143

= - 24 i + 143

Rewrite in standard complex form:

143 - 24 i

= 143 - 24 i

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Frequently Asked Questions (FAQ)

What is (12-i)^2 ?
The solution to (12-i)^2 is 143-24i