Multiply ( square root of 3-1)( square root of 3+1)

Math
(3-1)(3+1)
Expand (3-1)(3+1) using the FOIL Method.
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Apply the distributive property.
3(3+1)-1(3+1)
Apply the distributive property.
33+3⋅1-1(3+1)
Apply the distributive property.
33+3⋅1-13-1⋅1
33+3⋅1-13-1⋅1
Simplify and combine like terms.
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Simplify each term.
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Combine using the product rule for radicals.
3⋅3+3⋅1-13-1⋅1
Multiply 3 by 3.
9+3⋅1-13-1⋅1
Rewrite 9 as 32.
32+3⋅1-13-1⋅1
Pull terms out from under the radical, assuming positive real numbers.
3+3⋅1-13-1⋅1
Multiply 3 by 1.
3+3-13-1⋅1
Rewrite -13 as -3.
3+3-3-1⋅1
Multiply -1 by 1.
3+3-3-1
3+3-3-1
Subtract 1 from 3.
2+3-3
Subtract 3 from 3.
2+0
Add 2 and 0.
2
2
Multiply ( square root of 3-1)( square root of 3+1)

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