# Simplify 3x^-2(3x^4-3x^2) 3x-2(3×4-3×2)
Rewrite the expression using the negative exponent rule b-n=1bn.
31×2(3×4-3×2)
Combine fractions.
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
Simplify the numerator.
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
Simplify terms.
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)
Expand (9x+9)(x-1) using the FOIL Method.
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 and combine like terms.
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
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