Basic Math Examples

Simplify (2 square root of 5-3 square root of 3)(2 square root of 5+3 square root of 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
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
Evaluate the exponent.
Step 2.1.3
Multiply by .
Step 2.1.4
Multiply .
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Step 2.1.4.1
Multiply by .
Step 2.1.4.2
Combine using the product rule for radicals.
Step 2.1.4.3
Multiply by .
Step 2.1.5
Multiply .
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Step 2.1.5.1
Multiply by .
Step 2.1.5.2
Combine using the product rule for radicals.
Step 2.1.5.3
Multiply by .
Step 2.1.6
Multiply .
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Step 2.1.6.1
Multiply by .
Step 2.1.6.2
Raise to the power of .
Step 2.1.6.3
Raise to the power of .
Step 2.1.6.4
Use the power rule to combine exponents.
Step 2.1.6.5
Add and .
Step 2.1.7
Rewrite as .
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Step 2.1.7.1
Use to rewrite as .
Step 2.1.7.2
Apply the power rule and multiply exponents, .
Step 2.1.7.3
Combine and .
Step 2.1.7.4
Cancel the common factor of .
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Step 2.1.7.4.1
Cancel the common factor.
Step 2.1.7.4.2
Rewrite the expression.
Step 2.1.7.5
Evaluate the exponent.
Step 2.1.8
Multiply by .
Step 2.2
Subtract from .
Step 2.3
Subtract from .
Step 2.4
Add and .