因式分解:(4x^2+9y^2)(3y-2x)+12xy(2x-3y)

问题描述:

因式分解:(4x^2+9y^2)(3y-2x)+12xy(2x-3y)

:(4x^2+9y^2)(3y-2x)+12xy(2x-3y)
=(3y-2x)(4x²+9y²-12xy)
=(3y-2x)(2x-3y)²
=-(2x-3y)³