Basic Math Examples

Write in Standard Form (3-2i)/(1+2i)*(1-2i)/(1-2i)
Step 1
Cancel the common factor of .
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Step 1.1
Cancel the common factor.
Step 1.2
Rewrite the expression.
Step 2
Multiply by .
Step 3
Multiply the numerator and denominator of by the conjugate of to make the denominator real.
Step 4
Multiply.
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Step 4.1
Combine.
Step 4.2
Simplify the numerator.
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Step 4.2.1
Expand using the FOIL Method.
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Step 4.2.1.1
Apply the distributive property.
Step 4.2.1.2
Apply the distributive property.
Step 4.2.1.3
Apply the distributive property.
Step 4.2.2
Simplify and combine like terms.
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Step 4.2.2.1
Simplify each term.
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Step 4.2.2.1.1
Multiply by .
Step 4.2.2.1.2
Multiply by .
Step 4.2.2.1.3
Multiply by .
Step 4.2.2.1.4
Multiply .
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Step 4.2.2.1.4.1
Multiply by .
Step 4.2.2.1.4.2
Raise to the power of .
Step 4.2.2.1.4.3
Raise to the power of .
Step 4.2.2.1.4.4
Use the power rule to combine exponents.
Step 4.2.2.1.4.5
Add and .
Step 4.2.2.1.5
Rewrite as .
Step 4.2.2.1.6
Multiply by .
Step 4.2.2.2
Subtract from .
Step 4.2.2.3
Subtract from .
Step 4.3
Simplify the denominator.
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Step 4.3.1
Expand using the FOIL Method.
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Step 4.3.1.1
Apply the distributive property.
Step 4.3.1.2
Apply the distributive property.
Step 4.3.1.3
Apply the distributive property.
Step 4.3.2
Simplify.
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Step 4.3.2.1
Multiply by .
Step 4.3.2.2
Multiply by .
Step 4.3.2.3
Multiply by .
Step 4.3.2.4
Multiply by .
Step 4.3.2.5
Raise to the power of .
Step 4.3.2.6
Raise to the power of .
Step 4.3.2.7
Use the power rule to combine exponents.
Step 4.3.2.8
Add and .
Step 4.3.2.9
Add and .
Step 4.3.2.10
Add and .
Step 4.3.3
Simplify each term.
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Step 4.3.3.1
Rewrite as .
Step 4.3.3.2
Multiply by .
Step 4.3.4
Add and .
Step 5
Split the fraction into two fractions.
Step 6
Simplify each term.
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Step 6.1
Move the negative in front of the fraction.
Step 6.2
Move the negative in front of the fraction.