Basic Math Examples

Simplify (1/2-9i)(1/2+9i)
Step 1
Expand using the FOIL Method.
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Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 2
Simplify and combine like terms.
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Step 2.1
Simplify each term.
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Step 2.1.1
Multiply .
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Step 2.1.1.1
Multiply by .
Step 2.1.1.2
Multiply by .
Step 2.1.2
Multiply .
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Step 2.1.2.1
Combine and .
Step 2.1.2.2
Combine and .
Step 2.1.3
Multiply .
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Step 2.1.3.1
Combine and .
Step 2.1.3.2
Combine and .
Step 2.1.4
Move the negative in front of the fraction.
Step 2.1.5
Multiply .
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Step 2.1.5.1
Multiply by .
Step 2.1.5.2
Raise to the power of .
Step 2.1.5.3
Raise to the power of .
Step 2.1.5.4
Use the power rule to combine exponents.
Step 2.1.5.5
Add and .
Step 2.1.6
Rewrite as .
Step 2.1.7
Multiply by .
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Combine and .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify the numerator.
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Step 2.5.1
Multiply by .
Step 2.5.2
Add and .
Step 2.6
Combine the numerators over the common denominator.
Step 2.7
To write as a fraction with a common denominator, multiply by .
Step 2.8
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.8.1
Multiply by .
Step 2.8.2
Multiply by .
Step 2.9
Combine the numerators over the common denominator.
Step 2.10
Simplify the numerator.
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Step 2.10.1
Multiply by .
Step 2.10.2
Add and .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: