分解因式 4m^2(x+y)^2-12mn(x+y)(x-y)+9n^2(x-y)^2

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分解因式 4m^2(x+y)^2-12mn(x+y)(x-y)+9n^2(x-y)^2

分解因式 4m^2(x+y)^2-12mn(x+y)(x-y)+9n^2(x-y)^2
分解因式 4m^2(x+y)^2-12mn(x+y)(x-y)+9n^2(x-y)^2

分解因式 4m^2(x+y)^2-12mn(x+y)(x-y)+9n^2(x-y)^2
4m^2(x+y)^2-12mn(x+y)(x-y)+9n^2(x-y)^2
=[2m(x+y)]²-2×2×3mn(x+y)(x-y)+[3n(x-y)]²
=[2m(x+y)-3n(x-y)]²
=(2mx+2my-3nx+3ny)²
不懂的还可以追问!满意请及时采纳! O(∩_∩)O

原式=[2m(x+y)-3n(x-y)]²=(2mx-3nx+2my+3ny)²