# Simplify (2- square root of 5)(2+ square root of 5) (2-5)(2+5)
Expand (2-5)(2+5) using the FOIL Method.
Apply the distributive property.
2(2+5)-5(2+5)
Apply the distributive property.
2⋅2+25-5(2+5)
Apply the distributive property.
2⋅2+25-5⋅2-55
2⋅2+25-5⋅2-55
Simplify and combine like terms.
Simplify each term.
Multiply 2 by 2.
4+25-5⋅2-55
Multiply 2 by -1.
4+25-25-55
Multiply -55.
Raise 5 to the power of 1.
4+25-25-(515)
Raise 5 to the power of 1.
4+25-25-(5151)
Use the power rule aman=am+n to combine exponents.
4+25-25-51+1
Add 1 and 1.
4+25-25-52
4+25-25-52
Rewrite 52 as 5.
Use axn=axn to rewrite 5 as 512.
4+25-25-(512)2
Apply the power rule and multiply exponents, (am)n=amn.
4+25-25-512⋅2
Combine 12 and 2.
4+25-25-522
Cancel the common factor of 2.
Cancel the common factor.
4+25-25-522
Divide 1 by 1.
4+25-25-51
4+25-25-51
Evaluate the exponent.
4+25-25-1⋅5
4+25-25-1⋅5
Multiply -1 by 5.
4+25-25-5
4+25-25-5
Subtract 5 from 4.
-1+25-25
Subtract 25 from 25.
-1+0
Add -1 and 0.
-1
-1
Simplify (2- square root of 5)(2+ square root of 5)

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