[tex]the lcm of 12(x^4-x^3) (x^4-3x^3 +2x^2) .[/tex]
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[tex]the lcm of 12(x^4-x^3) (x^4-3x^3 +2x^2) .[/tex]
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x^4–3x^3+2x^2
=x^2(x^2–3x+2)
=x^2(x-1)(x-2)
2nd expression
x^4-x^3
x^3(x-1)
So the lcm of both expression is
x^3(x-1)(x-2)