2(x-3y)↑2 - 3(x-3y)↑3 - (3y-x)↑2 + (3y-x)↑3
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2(x-3y)↑2-3(x-3y)↑3-(3y-x)↑2+(3y-x)↑32(x-3y)↑2-3(x-3y)↑3-(3y-x)↑2+(3y-x)↑32(x-3y)↑2-3(x-3y)↑3-(3y-x)
2(x-3y)↑2 - 3(x-3y)↑3 - (3y-x)↑2 + (3y-x)↑3
2(x-3y)↑2 - 3(x-3y)↑3 - (3y-x)↑2 + (3y-x)↑3
2(x-3y)↑2 - 3(x-3y)↑3 - (3y-x)↑2 + (3y-x)↑3
2(x-3y)↑2 - 3(x-3y)↑3 - (3y-x)↑2 + (3y-x)↑3
=[2(x-3y)↑2- (3y-x)↑2]+[- 3(x-3y)↑3 +(3y-x)↑3](根据加法的交换律和结合律)
=[2(x-3y)↑2- (x-3y)↑2]+[3(3y-x)↑3 +(3y-x)↑3]
=(x-3y)↑2+4(3y-x)↑3或者=(x-3y)↑2-4(x-3y)↑3
合并同类项法则:把各项系数相加,字母和字母的指数不变.
楼上的错了
2(x-3y)↑2 - 3(x-3y)↑3 - (3y-x)↑2 + (3y-x)↑3
=2(x-3y)↑2- (3y-x)↑2- 3(x-3y)↑3 + (3y-x)↑3
=2(x-3y)↑2- (x-3y)↑2- 3(x-3y)↑3 -(x-3y)↑3
=(x-3y)↑2- 4(x-3y)↑3
=2(x-3y)↑2 - 3(x-3y)↑3-(x-3y)↑2-(x-3y)↑3
=(x-3y)↑2-4(x-3y)↑3
2(x-3y)↑2 - 3(x-3y)↑3 - (3y-x)↑2 + (3y-x)↑3
=2(x-3y)↑2- (3y-x)↑2- 3(x-3y)↑3 + (3y-x)↑3
=(x-3y)↑2- 4(x-3y)↑3
=(x-3y)↑2(1-4x+12y)
x(x-y)2-(y-x)3
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分解因式:3x(y-x)-2y(x-y)