Algebra Examples

Simplify (4-5i)(4+i)
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 by .
Step 2.1.2
Multiply by .
Step 2.1.3
Multiply .
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Step 2.1.3.1
Raise to the power of .
Step 2.1.3.2
Raise to the power of .
Step 2.1.3.3
Use the power rule to combine exponents.
Step 2.1.3.4
Add and .
Step 2.1.4
Rewrite as .
Step 2.1.5
Multiply by .
Step 2.2
Add and .
Step 2.3
Subtract from .