若函数f(x，y)=ln(x-√x<sup>2</sup>+y<sup>2</sup>)(x﹥>y﹥0)，,则f(x+y，x-y)=___

若函数f(x，y)=ln(x-√x²+y²)(x﹥>y﹥0)，,则f(x+y，x-y)=____．

若函数f(x，y)=ln(x-√x²+y²)(x﹥>y﹥0)，,则f(x+y，x-y)=____．
【正确答案】：f(x+y，x-y)=ln[(x+y)-√((x+y)²-(x-y)²)]=2ln(√x-√y)

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