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Popular >

simplify (5-4i)^2

Solution

simplify

(5 - 4 i)^{2}

Solution

9 - 40 i

Solution steps

(5 - 4 i)^{2}

Apply Perfect Square Formula:

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

(5 - 4 i)^{2} = 5^{2} - 2 \cdot 5 \cdot 4 i + (4 i)^{2}

= 5^{2} - 2 \cdot 5 \cdot 4 i + (4 i)^{2}

Simplify

5^{2} - 2 \cdot 5 \cdot 4 i + (4 i)^{2} : - 40 i + 9

= - 40 i + 9

Rewrite in standard complex form:

9 - 40 i

= 9 - 40 i

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Frequently Asked Questions (FAQ)

What is (5-4i)^2 ?
The solution to (5-4i)^2 is 9-40i