因式分解： 25(x-2y)²-4(y-2x)²

来源：学生作业学帮网编辑：学帮网时间：2024/05/19 12:33:57

25(x-2y)²-4(y-2x)²
=[5(x-2y)+2(y-2x)][5(x-2y)-2(y-2x)]
=(x-8y)(9x-12y)
=3(x-8y)(3x-4y)

答：
25(x-2y)²-4(y-2x)²
=[5(x-2y)]²-[2(y-2x)]²
=(5x-10y)²-(2y-4x)²
=(5x-10y+2y-4x)(5x-10y-2y+4x)
=(x-8y)(9x-12y)
=3(x-8y)(3x-4y)