分解因式:9(x-y)*2+12(x*2-y*2)+4(x+y)*2

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分解因式:9(x-y)*2+12(x*2-y*2)+4(x+y)*2

分解因式:9(x-y)*2+12(x*2-y*2)+4(x+y)*2
分解因式:9(x-y)*2+12(x*2-y*2)+4(x+y)*2

分解因式:9(x-y)*2+12(x*2-y*2)+4(x+y)*2
9(x-y)^2+12(x^2-y^2)+4(x+y)^2
=[3(x-y)]^2+2*3(x-y)*2(x+y)+[2(x+y)]^2
=[3(x-y)+2(x+y)]^2
=(5x-y)^2

原式=〔3(X-Y)〕^2+2〔3(X-Y)〕〔2(X+Y)〕+〔2(X+Y)〕^2
=〔3(X-Y)+2(X+Y)〕^2
=(5X-Y)^2