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Popular >

simplify (3-5i)^2

Solution

simplify

(3 - 5 i)^{2}

Solution

- 16 - 30 i

Solution steps

(3 - 5 i)^{2}

Apply Perfect Square Formula:

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

(3 - 5 i)^{2} = 3^{2} - 2 \cdot 3 \cdot 5 i + (5 i)^{2}

= 3^{2} - 2 \cdot 3 \cdot 5 i + (5 i)^{2}

Simplify

3^{2} - 2 \cdot 3 \cdot 5 i + (5 i)^{2} : - 30 i - 16

= - 30 i - 16

Rewrite in standard complex form:

- 16 - 30 i

= - 16 - 30 i

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Frequently Asked Questions (FAQ)

What is (3-5i)^2 ?
The solution to (3-5i)^2 is -16-30i