# Simplify ( square root of x- square root of 3)( square root of x+ square root of 3) (x-3)(x+3)
Expand (x-3)(x+3) using the FOIL Method.
Apply the distributive property.
x(x+3)-3(x+3)
Apply the distributive property.
xx+x3-3(x+3)
Apply the distributive property.
xx+x3-3x-33
xx+x3-3x-33
Simplify terms.
Combine the opposite terms in xx+x3-3x-33.
Reorder the factors in the terms x3 and -3x.
xx+3x-3x-33
Subtract 3x from 3x.
xx+0-33
Add xx and 0.
xx-33
xx-33
Simplify each term.
Multiply xx.
Raise x to the power of 1.
x1x-33
Raise x to the power of 1.
x1x1-33
Use the power rule aman=am+n to combine exponents.
x1+1-33
Add 1 and 1.
x2-33
x2-33
Rewrite x2 as x.
Use axn=axn to rewrite x as x12.
(x12)2-33
Apply the power rule and multiply exponents, (am)n=amn.
x12⋅2-33
Combine 12 and 2.
x22-33
Cancel the common factor of 2.
Cancel the common factor.
x22-33
Divide 1 by 1.
x1-33
x1-33
Simplify.
x-33
x-33
Multiply -33.
Raise 3 to the power of 1.
x-(313)
Raise 3 to the power of 1.
x-(3131)
Use the power rule aman=am+n to combine exponents.
x-31+1
Add 1 and 1.
x-32
x-32
Rewrite 32 as 3.
Use axn=axn to rewrite 3 as 312.
x-(312)2
Apply the power rule and multiply exponents, (am)n=amn.
x-312⋅2
Combine 12 and 2.
x-322
Cancel the common factor of 2.
Cancel the common factor.
x-322
Divide 1 by 1.
x-31
x-31
Evaluate the exponent.
x-1⋅3
x-1⋅3
Multiply -1 by 3.
x-3
x-3
x-3
Simplify ( square root of x- square root of 3)( square root of x+ square root of 3)

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