Algebra Examples

Simplify (i square root of 2-1)(2i square root of 2+3)
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
Raise to the power of .
Step 2.1.1.2
Raise to the power of .
Step 2.1.1.3
Use the power rule to combine exponents.
Step 2.1.1.4
Add and .
Step 2.1.1.5
Raise to the power of .
Step 2.1.1.6
Raise to the power of .
Step 2.1.1.7
Use the power rule to combine exponents.
Step 2.1.1.8
Add and .
Step 2.1.2
Rewrite as .
Step 2.1.3
Multiply by .
Step 2.1.4
Rewrite as .
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Step 2.1.4.1
Use to rewrite as .
Step 2.1.4.2
Apply the power rule and multiply exponents, .
Step 2.1.4.3
Combine and .
Step 2.1.4.4
Cancel the common factor of .
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Step 2.1.4.4.1
Cancel the common factor.
Step 2.1.4.4.2
Rewrite the expression.
Step 2.1.4.5
Evaluate the exponent.
Step 2.1.5
Multiply by .
Step 2.1.6
Move to the left of .
Step 2.1.7
Multiply by .
Step 2.1.8
Multiply by .
Step 2.2
Subtract from .
Step 2.3
Subtract from .
Step 3
Multiply by .
Step 4
Reorder and .