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Popular >

simplify (i^6-3i^{-6})^2

Solution

simplify

(i^{6} - 3 i^{- 6})^{2}

Solution

- 6 i^{0} + 10

Solution steps

(i^{6} - 3 i^{- 6})^{2}

Apply Perfect Square Formula:

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

(i^{6} - 3 i^{- 6})^{2} = (i^{6})^{2} - 2 i^{6} \cdot 3 i^{- 6} + (3 i^{- 6})^{2}

= (i^{6})^{2} - 2 i^{6} \cdot 3 i^{- 6} + (3 i^{- 6})^{2}

Simplify

(i^{6})^{2} - 2 i^{6} \cdot 3 i^{- 6} + (3 i^{- 6})^{2} : - 6 i^{0} + 10

= - 6 i^{0} + 10

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Frequently Asked Questions (FAQ)

What is (i^6-3i^{-6})^2 ?
The solution to (i^6-3i^{-6})^2 is -6i^0+10