Question

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

Answer 1

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

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