Basic Math Examples

Simplify ( square root of x- square root of 2)( square root of x+ square root of 2)
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 terms.
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Step 2.1
Combine the opposite terms in .
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Step 2.1.1
Reorder the factors in the terms and .
Step 2.1.2
Subtract from .
Step 2.1.3
Add and .
Step 2.2
Simplify each term.
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Step 2.2.1
Multiply .
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Step 2.2.1.1
Raise to the power of .
Step 2.2.1.2
Raise to the power of .
Step 2.2.1.3
Use the power rule to combine exponents.
Step 2.2.1.4
Add and .
Step 2.2.2
Rewrite as .
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Step 2.2.2.1
Use to rewrite as .
Step 2.2.2.2
Apply the power rule and multiply exponents, .
Step 2.2.2.3
Combine and .
Step 2.2.2.4
Cancel the common factor of .
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Step 2.2.2.4.1
Cancel the common factor.
Step 2.2.2.4.2
Rewrite the expression.
Step 2.2.2.5
Simplify.
Step 2.2.3
Multiply .
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Step 2.2.3.1
Raise to the power of .
Step 2.2.3.2
Raise to the power of .
Step 2.2.3.3
Use the power rule to combine exponents.
Step 2.2.3.4
Add and .
Step 2.2.4
Rewrite as .
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Step 2.2.4.1
Use to rewrite as .
Step 2.2.4.2
Apply the power rule and multiply exponents, .
Step 2.2.4.3
Combine and .
Step 2.2.4.4
Cancel the common factor of .
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Step 2.2.4.4.1
Cancel the common factor.
Step 2.2.4.4.2
Rewrite the expression.
Step 2.2.4.5
Evaluate the exponent.
Step 2.2.5
Multiply by .