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B= -2y
C= 3x
a) (A*B)*C= [(3x²-xy)×(-2y)]×3x= [-6x²y-2xy²]×3x=-18x³y-6x²y²
b)A*(B*C)= (3x²-xy)[(-2y)×3x]= (3x²-xy)(-6xy)= -18x³y+6x²y²
c) (A+B)*C = [3x²-xy+(-2y)]×3x=9x³-3x²y-6xy
d) A*C+B*C= [(3x²-xy)3x]+[(-2y)(3x)]= 9x³-3x²y+6xy