因式分解9(x-y)²+12(x²-y²)+4(x+y)²
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因式分解9(x-y)²+12(x²-y²)+4(x+y)²
因式分解9(x-y)²+12(x²-y²)+4(x+y)²
因式分解9(x-y)²+12(x²-y²)+4(x+y)²
原式=[3(x-y)]²+12(x+y)(x-y)+[2(x+y)]²
=[3(x-y)+2(x+y)]²
=(5x-y)²
9(x-y)²+12(x²-y²)+4(x+y)²
=9x^2+9y²-18xy+12x²-12y²+4x^2+4y²+8xy
=25x^2+y^2-10xy
=(5x-y)^2