# Simplify (3-2 square root of 7)(2+ square root of 7) (3-27)(2+7)
Expand (3-27)(2+7) using the FOIL Method.
Apply the distributive property.
3(2+7)-27(2+7)
Apply the distributive property.
3⋅2+37-27(2+7)
Apply the distributive property.
3⋅2+37-27⋅2-277
3⋅2+37-27⋅2-277
Simplify and combine like terms.
Simplify each term.
Multiply 3 by 2.
6+37-27⋅2-277
Multiply 2 by -2.
6+37-47-277
Multiply -277.
Raise 7 to the power of 1.
6+37-47-2(717)
Raise 7 to the power of 1.
6+37-47-2(7171)
Use the power rule aman=am+n to combine exponents.
6+37-47-271+1
6+37-47-272
6+37-47-272
Rewrite 72 as 7.
Use axn=axn to rewrite 7 as 712.
6+37-47-2(712)2
Apply the power rule and multiply exponents, (am)n=amn.
6+37-47-2⋅712⋅2
Combine 12 and 2.
6+37-47-2⋅722
Cancel the common factor of 2.
Cancel the common factor.
6+37-47-2⋅722
Divide 1 by 1.
6+37-47-2⋅71
6+37-47-2⋅71
Evaluate the exponent.
6+37-47-2⋅7
6+37-47-2⋅7
Multiply -2 by 7.
6+37-47-14
6+37-47-14
Subtract 14 from 6.
-8+37-47
Subtract 47 from 37.
-8-7
-8-7
The result can be shown in multiple forms.
Exact Form:
-8-7
Decimal Form:
-10.64575131…
Simplify (3-2 square root of 7)(2+ square root of 7)

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