# Simplify (7+ square root of 6)(2- square root of 6) (7+6)(2-6)
Expand (7+6)(2-6) using the FOIL Method.
Apply the distributive property.
7(2-6)+6(2-6)
Apply the distributive property.
7⋅2+7(-6)+6(2-6)
Apply the distributive property.
7⋅2+7(-6)+6⋅2+6(-6)
7⋅2+7(-6)+6⋅2+6(-6)
Simplify and combine like terms.
Simplify each term.
Multiply 7 by 2.
14+7(-6)+6⋅2+6(-6)
Multiply -1 by 7.
14-76+6⋅2+6(-6)
Move 2 to the left of 6.
14-76+2⋅6+6(-6)
Multiply 6(-6).
Raise 6 to the power of 1.
14-76+26-(616)
Raise 6 to the power of 1.
14-76+26-(6161)
Use the power rule aman=am+n to combine exponents.
14-76+26-61+1
Add 1 and 1.
14-76+26-62
14-76+26-62
Rewrite 62 as 6.
Use axn=axn to rewrite 6 as 612.
14-76+26-(612)2
Apply the power rule and multiply exponents, (am)n=amn.
14-76+26-612⋅2
Combine 12 and 2.
14-76+26-622
Cancel the common factor of 2.
Cancel the common factor.
14-76+26-622
Divide 1 by 1.
14-76+26-61
14-76+26-61
Evaluate the exponent.
14-76+26-1⋅6
14-76+26-1⋅6
Multiply -1 by 6.
14-76+26-6
14-76+26-6
Subtract 6 from 14.
8-76+26
Add -76 and 26.
8-56
8-56
The result can be shown in multiple forms.
Exact Form:
8-56
Decimal Form:
-4.24744871…
Simplify (7+ square root of 6)(2- square root of 6)

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