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Popular >

simplify (4-9i)^2

Solution

simplify

(4 - 9 i)^{2}

Solution

- 65 - 72 i

Solution steps

(4 - 9 i)^{2}

Apply Perfect Square Formula:

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

(4 - 9 i)^{2} = 4^{2} - 2 \cdot 4 \cdot 9 i + (9 i)^{2}

= 4^{2} - 2 \cdot 4 \cdot 9 i + (9 i)^{2}

Simplify

4^{2} - 2 \cdot 4 \cdot 9 i + (9 i)^{2} : - 72 i - 65

= - 72 i - 65

Rewrite in standard complex form:

- 65 - 72 i

= - 65 - 72 i

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Frequently Asked Questions (FAQ)

What is (4-9i)^2 ?
The solution to (4-9i)^2 is -65-72i