因式分解:(4x^2+9y^2)(3y-2x)+12xy(2x-3y)
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因式分解:(4x^2+9y^2)(3y-2x)+12xy(2x-3y)
![因式分解:(4x^2+9y^2)(3y-2x)+12xy(2x-3y)](/uploads/image/z/16130707-43-7.jpg?t=%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3%3A%284x%5E2%2B9y%5E2%29%283y-2x%29%2B12xy%282x-3y%29)
:(4x^2+9y^2)(3y-2x)+12xy(2x-3y)
=(3y-2x)(4x²+9y²-12xy)
=(3y-2x)(2x-3y)²
=-(2x-3y)³
=(3y-2x)(4x²+9y²-12xy)
=(3y-2x)(2x-3y)²
=-(2x-3y)³