3x-2(3×4-3×2)

Rewrite the expression using the negative exponent rule b-n=1bn.

31×2(3×4-3×2)

Combine 3 and 1×2.

3×2(3×4-3×2)

Multiply 3×2 and 3×4-3×2.

3(3×4-3×2)x2

3(3×4-3×2)x2

Factor 3×2 out of 3×4-3×2.

Factor 3×2 out of 3×4.

3(3×2(x2)-3×2)x2

Factor 3×2 out of -3×2.

3(3×2(x2)+3×2(-1))x2

Factor 3×2 out of 3×2(x2)+3×2(-1).

3(3×2(x2-1))x2

3(3×2(x2-1))x2

Rewrite 1 as 12.

3(3×2(x2-12))x2

Factor.

3⋅3×2(x+1)(x-1)x2

Multiply 3 by 3.

9×2(x+1)(x-1)x2

9×2(x+1)(x-1)x2

Cancel the common factor of x2.

Cancel the common factor.

9×2(x+1)(x-1)x2

Divide (9(x+1))(x-1) by 1.

(9(x+1))(x-1)

(9(x+1))(x-1)

Apply the distributive property.

(9x+9⋅1)(x-1)

Multiply 9 by 1.

(9x+9)(x-1)

(9x+9)(x-1)

Apply the distributive property.

9x(x-1)+9(x-1)

Apply the distributive property.

9x⋅x+9x⋅-1+9(x-1)

Apply the distributive property.

9x⋅x+9x⋅-1+9x+9⋅-1

9x⋅x+9x⋅-1+9x+9⋅-1

Simplify each term.

Multiply x by x by adding the exponents.

Move x.

9(x⋅x)+9x⋅-1+9x+9⋅-1

Multiply x by x.

9×2+9x⋅-1+9x+9⋅-1

9×2+9x⋅-1+9x+9⋅-1

Multiply -1 by 9.

9×2-9x+9x+9⋅-1

Multiply 9 by -1.

9×2-9x+9x-9

9×2-9x+9x-9

Add -9x and 9x.

9×2+0-9

Add 9×2 and 0.

9×2-9

9×2-9

Simplify 3x^-2(3x^4-3x^2)