Algebra Examples

Simplify (2+3i)^2
Step 1
Rewrite as .
Step 2
Expand using the FOIL Method.
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Step 2.1
Apply the distributive property.
Step 2.2
Apply the distributive property.
Step 2.3
Apply the distributive property.
Step 3
Simplify and combine like terms.
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Step 3.1
Simplify each term.
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Step 3.1.1
Multiply by .
Step 3.1.2
Multiply by .
Step 3.1.3
Multiply by .
Step 3.1.4
Multiply .
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Step 3.1.4.1
Multiply by .
Step 3.1.4.2
Raise to the power of .
Step 3.1.4.3
Raise to the power of .
Step 3.1.4.4
Use the power rule to combine exponents.
Step 3.1.4.5
Add and .
Step 3.1.5
Rewrite as .
Step 3.1.6
Multiply by .
Step 3.2
Subtract from .
Step 3.3
Add and .