169(2x-y)²-(2x+y)²

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169(2x-y)²-(2x+y)²

169(2x-y)²-(2x+y)²
169(2x-y)²-(2x+y)²

169(2x-y)²-(2x+y)²
原式=[13(2x-y)]²-(2x+y)²
=(26x-13y)²-(2x+y)²
=[(26x-13y)+(2x+y)][(26x-13y)-(2x+y)]
=(28x-12y)(24x-14y)
=8(7x-3y)(12x-7y)

169(2x-y)^2-(2x+y)^2
=[13(2x-y)]^2-(2x+y)^2
=(26x-13y)^2-(2x+y)^2
=(26x-13y+2x+y)(26x-13y-2x-y)
=(28x-12y)(24x-14y)
=8(7x-3y)(12x-7y)

169(2x-y)²-(2x+y)²
=[13﹙2x-y)]²-﹙2x+y)²
=[13(2x-y)+(2x+y)][13(2x-y)-(2x+y)]
=﹙28x-12y﹚﹙24x-14y﹚
=8﹙7x-3y﹚﹙12x-7y﹚