Pre-Algebra Examples

Simplify (2 square root of a+ square root of b)(2 square root of a- square root of b)
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
Multiply by .
Step 2.1.1.2
Raise to the power of .
Step 2.1.1.3
Raise to the power of .
Step 2.1.1.4
Use the power rule to combine exponents.
Step 2.1.1.5
Add and .
Step 2.1.2
Rewrite as .
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Step 2.1.2.1
Use to rewrite as .
Step 2.1.2.2
Apply the power rule and multiply exponents, .
Step 2.1.2.3
Combine and .
Step 2.1.2.4
Cancel the common factor of .
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Step 2.1.2.4.1
Cancel the common factor.
Step 2.1.2.4.2
Rewrite the expression.
Step 2.1.2.5
Simplify.
Step 2.1.3
Multiply .
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Step 2.1.3.1
Multiply by .
Step 2.1.3.2
Combine using the product rule for radicals.
Step 2.1.4
Rewrite using the commutative property of multiplication.
Step 2.1.5
Combine using the product rule for radicals.
Step 2.1.6
Rewrite using the commutative property of multiplication.
Step 2.1.7
Multiply .
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Step 2.1.7.1
Raise to the power of .
Step 2.1.7.2
Raise to the power of .
Step 2.1.7.3
Use the power rule to combine exponents.
Step 2.1.7.4
Add and .
Step 2.1.8
Rewrite as .
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Step 2.1.8.1
Use to rewrite as .
Step 2.1.8.2
Apply the power rule and multiply exponents, .
Step 2.1.8.3
Combine and .
Step 2.1.8.4
Cancel the common factor of .
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Step 2.1.8.4.1
Cancel the common factor.
Step 2.1.8.4.2
Rewrite the expression.
Step 2.1.8.5
Simplify.
Step 2.2
Add and .
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Step 2.2.1
Reorder and .
Step 2.2.2
Add and .
Step 2.3
Add and .