Simplify (6-8i)/(2-i)*(2+i)/(2+i)

Math
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 .
Multiply by .
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 .
Multiply by .
Add and .
Subtract from .
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.
Tap for more steps…
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 .
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 .
Cancel the common factor.
Rewrite the expression.
Divide by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Multiply by .
Simplify (6-8i)/(2-i)*(2+i)/(2+i)

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