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Popular >

simplify (8-3i)^2

Solution

simplify

(8 - 3 i)^{2}

Solution

55 - 48 i

Solution steps

(8 - 3 i)^{2}

Apply Perfect Square Formula:

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

(8 - 3 i)^{2} = 8^{2} - 2 \cdot 8 \cdot 3 i + (3 i)^{2}

= 8^{2} - 2 \cdot 8 \cdot 3 i + (3 i)^{2}

Simplify

8^{2} - 2 \cdot 8 \cdot 3 i + (3 i)^{2} : - 48 i + 55

= - 48 i + 55

Rewrite in standard complex form:

55 - 48 i

= 55 - 48 i

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Frequently Asked Questions (FAQ)

What is (8-3i)^2 ?
The solution to (8-3i)^2 is 55-48i