因式分解 18x(x-2y)²-24xy(2y-x)²-6y(2y-3)³

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因式分解 18x(x-2y)²-24xy(2y-x)²-6y(2y-3)³

因式分解 18x(x-2y)²-24xy(2y-x)²-6y(2y-3)³
因式分解 18x(x-2y)²-24xy(2y-x)²-6y(2y-3)³

因式分解 18x(x-2y)²-24xy(2y-x)²-6y(2y-3)³
估计你写的题目有误,是否应该是:
18x(x-2y)³-24xy(2y-x)²-6y(2y-x)³
= 18x(x-2y)³-24xy(x-2y)²+6y(x-2y)³
= (x-2y)²[18x(x-2y)-24xy+6y(x-2y)]
= 6(x-2y)²[(3x+y)(x-2y)-4xy]
= 6(x-2y)²(3x²-2y²-9xy)