Question

(x-y)*2(x-y)^2*3(x-y)^3

(-三分之一a^2b)^3*（-3ab^2）^4
三分之一xy^2*（-3xyz）-4x^2yz*（-二分之一y^2）

Answer 1

解1题
原式=(x-y)×2(x-y)²×3(x-y)³
=2×3×(x-y)(x-y)²(x-y)³
=6(x-y)^(1+2+3)
=6(x-y)^6

解2题
原式=[(-1/3)a²b]³×(-3ab²)^4
=(-1/3)³×(a²)³×b³×(-3)^4×a^4×(b²)^4
=(-1/27)×a^(2×3)×b³×81×a^4×b^(2×4)
=[(-1/27)×81]×(a^6×a^4)×(b³×b^8)
=-3×a^(6+4)×b^(3+8)
= -3a^10b^11

解3题
原式=(1/3)xy²×(-3xyz)-4x²yz×(-1/2)y²
=[(1/3)×(-3)]×(x×x)×(y²×y)×z-4×(-1/2)×x²×(y×y²)×z
=-1×x^(1+1)×y^(2+1)×z+2×x²×y^(1+2)×z
= -x²y³z+2x²y³z
=x²y³z