Rewrite in Standard Form (12+3i)/(12-3i)

Math
Cancel the common factor of and .
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factors.
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Factor out of .
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Multiply.
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Combine.
Simplify the numerator.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
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Simplify each term.
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Multiply by .
Move to the left of .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Rewrite as .
Subtract from .
Add and .
Simplify the denominator.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify.
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Multiply by .
Multiply by .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Subtract from .
Add and .
Simplify each term.
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Rewrite as .
Multiply by .
Add and .
Split the fraction into two fractions.
Rewrite in Standard Form (12+3i)/(12-3i)

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