(x-3)(x+3)

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

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)