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Popular >

simplify (4-5i)^2

Solution

simplify

(4 - 5 i)^{2}

Solution

- 9 - 40 i

Solution steps

(4 - 5 i)^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

4^{2} - 2 \cdot 4 \cdot 5 i + (5 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 (4-5i)^2 ?
The solution to (4-5i)^2 is -9-40i