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Popular >

simplify (-12-3i)^2

Solution

simplify

(- 12 - 3 i)^{2}

Solution

135 + 72 i

Solution steps

(- 12 - 3 i)^{2}

Apply Perfect Square Formula:

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

(- 12 - 3 i)^{2} = (- 12)^{2} - 2 (- 12) \cdot 3 i + (3 i)^{2}

= (- 12)^{2} - 2 (- 12) \cdot 3 i + (3 i)^{2}

Simplify

(- 12)^{2} - 2 (- 12) \cdot 3 i + (3 i)^{2} : 72 i + 135

= 72 i + 135

Rewrite in standard complex form:

135 + 72 i

= 135 + 72 i

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Frequently Asked Questions (FAQ)

What is (-12-3i)^2 ?
The solution to (-12-3i)^2 is 135+72i