5x[x-3y]²+2y[3y-x]³因式分解,
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![5x[x-3y]²+2y[3y-x]³因式分解,](/uploads/image/z/569169-9-9.jpg?t=5x%5Bx-3y%5D%26%23178%3B%2B2y%5B3y-x%5D%26%23179%3B%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%2C)
5x[x-3y]²+2y[3y-x]³因式分解,
5x[x-3y]²+2y[3y-x]³因式分解,
5x[x-3y]²+2y[3y-x]³因式分解,
(-a)³=-a³
所以(3y-x)³=-(x-3y)³
所以原式=5x(x-3y)²-2y(x-3y)³
=-(x-3y)²[2y(x-3y)-5x]
=-(x-3y)²(2xy-6y²-5x)
5 x(x - 3 y)² + 2 y(3 y - x)³
= 5 x(3 y - x)² + 2 y(3 y - x)(3 y - x)²
= 5 x(3 y - x)² + (6 y ² - 2 x y)(3 y - x)²
= (5 x + 6 y ² - 2 x y)(3 y - x)²