36(x+y)²-49(x-y)²

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36(x+y)²-49(x-y)²

36(x+y)²-49(x-y)²
36(x+y)²-49(x-y)²

36(x+y)²-49(x-y)²
36(x+y)²-49(x-y)²
=[6(x+y)-7(x-y)][6(x+y)+7(x-y)]
=(6x+6y-7x+7y)(6x+6y+7x-7y)
=(13y-x)(13x-y)

平方差公式:
原式=(6x+6y)^2-(7x-7y)^2
=(6x+6y+7x-7y)(6x+6y-7x+7y)
=(13x-y)(13y-x)

利用平方差公式
36(x+y)²-49(x-y)²
=[6(x+y)]²-[7(x-y)]²
=[6(x+y)+7(x-y)]*[6(x+y)-7(x-y)]
=(6x+6y+7x-7y)(6x+6y-7x+7y)
=(13x-y)(13y-x)=(6x+6y-7x+7y)(6x+6y+7x-7y) =(13y-x)...

全部展开

利用平方差公式
36(x+y)²-49(x-y)²
=[6(x+y)]²-[7(x-y)]²
=[6(x+y)+7(x-y)]*[6(x+y)-7(x-y)]
=(6x+6y+7x-7y)(6x+6y-7x+7y)
=(13x-y)(13y-x)

收起

36(x+y)²-49(x-y)²
=(6x+6y)²-(7x-7y)²
=(6x+6y+7x-7y)*(6x+6y-7x+7y)
=(13x-y)*(13y-x)