Multiply ( square root of 2-1)( square root of 2+1)

Math
(2-1)(2+1)
Expand (2-1)(2+1) using the FOIL Method.
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Apply the distributive property.
2(2+1)-1(2+1)
Apply the distributive property.
22+2⋅1-1(2+1)
Apply the distributive property.
22+2⋅1-12-1⋅1
22+2⋅1-12-1⋅1
Simplify and combine like terms.
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Simplify each term.
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Combine using the product rule for radicals.
2⋅2+2⋅1-12-1⋅1
Multiply 2 by 2.
4+2⋅1-12-1⋅1
Rewrite 4 as 22.
22+2⋅1-12-1⋅1
Pull terms out from under the radical, assuming positive real numbers.
2+2⋅1-12-1⋅1
Multiply 2 by 1.
2+2-12-1⋅1
Rewrite -12 as -2.
2+2-2-1⋅1
Multiply -1 by 1.
2+2-2-1
2+2-2-1
Subtract 1 from 2.
1+2-2
Subtract 2 from 2.
1+0
Add 1 and 0.
1
1
Multiply ( square root of 2-1)( square root of 2+1)

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