因式分解:4x²-9(x-y)²

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因式分解:4x²-9(x-y)²

因式分解:4x²-9(x-y)²
因式分解:4x²-9(x-y)²

因式分解:4x²-9(x-y)²
4x²-9(x-y)²
=(2x+3x-3y)(2x-3x+3y)
=(5x-3y)(-x+3y)

4x²-9(x-y)²
=[2x+3(x-y)][2x-3(x-y)]
=(5x-3y)(3y-x)

4x²-9(x-y)²
=(2x-3(x-y))(2x+3(x-y))
=(3y-x)(5x-3y)
(*^__^*) 嘻嘻……

用平方差
(2x²)-[3(X-Y)]²
=[2X+3(X-Y)][2X-3(X-Y)]
=(2X+3X-3Y)(2X-3X+Y)
合并同类项得:(5X-3Y)(3Y-X)