[(3a-12)/(a^2-4a+4)]/[(a-4)/(a^2-4)]*[(10+3a-a^2)/(2+a-a^2)]

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[(3a-12)/(a^2-4a+4)]/[(a-4)/(a^2-4)]*[(10+3a-a^2)/(2+a-a^2)][(3a-12)/(a^2-4a+4)]/[(a-4)/(a^2-4)]*[(1

[(3a-12)/(a^2-4a+4)]/[(a-4)/(a^2-4)]*[(10+3a-a^2)/(2+a-a^2)]
[(3a-12)/(a^2-4a+4)]/[(a-4)/(a^2-4)]*[(10+3a-a^2)/(2+a-a^2)]

[(3a-12)/(a^2-4a+4)]/[(a-4)/(a^2-4)]*[(10+3a-a^2)/(2+a-a^2)]
[(3a-12)/(a^2-4a+4)]/[(a-4)/(a^2-4)]*[(10+3a-a^2)/(2+a-a^2)]
=[3(a-4)/(a-2)²]/[(a-4)/(a-2)(a+2)]*[(5-a)(2+a)/(2-a)(1+a)]
=[3(a+2)/(a-2)]*[(5-a)(2+a)/(2-a)(1+a)]
=3(a-5)(a+2)²/[(a+1)(a-2)²]