[6X^2-24X+24+12X^2-48-(3X^2-6X+3)(X-2)]/(6-3X)

[6X^2-24X+24+12X^2-48-(3X^2-6X+3)(X-2)]/(6-3X)
[6X^2-24X+24+12X^2-48-(3X^2-6X+3)(X-2)]/(6-3X)

[6X^2-24X+24+12X^2-48-(3X^2-6X+3)(X-2)]/(6-3X)
[6X²-24X+24+12X²-48-(3X²-6X+3)(X-2)]/(6-3X)
=[18X²-24X-24-3(X²-2X+1)(X-2)]/[3(2-X)]
=3[2(3X²-4X-4)-(X-1)²(X-2)]/[3(2-X)]
=[2(X-2)(3X+2)-(X-1)²(X-2)]/(2-X)
=-[2(3X+2)-(X-1)²]
=(X-1)²-2(3X+2)
=X²-2X+1-6X-4
=X²-8X-3