Algebra Examples

Simplify (8- square root of 12)(4+ square root of 3)
Step 1
Simplify each term.
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Step 1.1
Rewrite as .
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Step 1.1.1
Factor out of .
Step 1.1.2
Rewrite as .
Step 1.2
Pull terms out from under the radical.
Step 1.3
Multiply by .
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 .
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Step 3.1.3.1
Raise to the power of .
Step 3.1.3.2
Raise to the power of .
Step 3.1.3.3
Use the power rule to combine exponents.
Step 3.1.3.4
Add and .
Step 3.1.4
Rewrite as .
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Step 3.1.4.1
Use to rewrite as .
Step 3.1.4.2
Apply the power rule and multiply exponents, .
Step 3.1.4.3
Combine and .
Step 3.1.4.4
Cancel the common factor of .
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Step 3.1.4.4.1
Cancel the common factor.
Step 3.1.4.4.2
Rewrite the expression.
Step 3.1.4.5
Evaluate the exponent.
Step 3.1.5
Multiply by .
Step 3.2
Subtract from .
Step 3.3
Subtract from .
Step 3.4
Add and .