x^2-y^2-2(x-y)≤0怎么转化成(x-y)(x+y-2)≤0

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x^2-y^2-2(x-y)≤0怎么转化成(x-y)(x+y-2)≤0
x^2-y^2-2(x-y)≤0怎么转化成(x-y)(x+y-2)≤0

x^2-y^2-2(x-y)≤0怎么转化成(x-y)(x+y-2)≤0
就是不等式左边因式分解,很简单.
x²-y²-2(x-y)≤0
(x+y)(x-y)-2(x-y)≤0 /两平方差公式:x²-y²=(x+y)(x-y)
(x-y)(x+y-2)≤0 /提取公因式x-y

X∧2-Y∧2-2(X-Y)=(X+Y)(X-Y)-2(X-Y)=(x-y)(x+y-2)≤0