8 - 3i / 2 - 6i
Multiply by the complex conjugate of the denominator.
Distributive Property of Multiplication
Substitute -1 for i^2.
Combine like terms.

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8 - 3i / 2 - 6i Multiply by the complex conjugate of the denominator. Distributive Property of Multiplication Substitute -1 for i^2. Combine like terms.

SnapAndSolve AI · Accepted Answer

Given: $ \frac{8 - 3i}{2 - 6i} $Multiply by the complex conjugate of the denominator: $ \frac{8 - 3i}{2 - 6i} \times \frac{2 + 6i}{2 + 6i} $Distributive Property of Multiplication: $ \frac{(8 - 3i)(2 + 6i)}{(2 - 6i)(2 + 6i)} $Substitute $-1$ for $i^2$: $ \frac{16 + 48i + 6i - 18(-1)}{4 + 12i - 12i - 36(-1)} $Combine like terms: $ \frac{16 + 54i + 18}{4 + 36} = \frac{34 + 54i}{40} = \frac{17 + 27i}{20} $

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8 - 3i / 2 - 6i Multiply by the complex conjugate of the denominator. Distributive Property of...

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