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Popular >

simplify (-10-3i)^2

Solution

simplify

(- 10 - 3 i)^{2}

Solution

91 + 60 i

Solution steps

(- 10 - 3 i)^{2}

Apply Perfect Square Formula:

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

(- 10 - 3 i)^{2} = (- 10)^{2} - 2 (- 10) \cdot 3 i + (3 i)^{2}

= (- 10)^{2} - 2 (- 10) \cdot 3 i + (3 i)^{2}

Simplify

(- 10)^{2} - 2 (- 10) \cdot 3 i + (3 i)^{2} : 60 i + 91

= 60 i + 91

Rewrite in standard complex form:

91 + 60 i

= 91 + 60 i

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Frequently Asked Questions (FAQ)

What is (-10-3i)^2 ?
The solution to (-10-3i)^2 is 91+60i