设函数f(x+y,xy)=x^3+y^3(即x的三次方加y的三次方),则f(x,y)=( )。

2024-11-18 04:16:59
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回答1:

f(x+y,xy)=x^3+y^3
=(x+y)(x^2-xy+y^2)
=(x+y)[(x+y)^2-3xy]
所竖晌以缓纤漏扰烂f(x,y)=x(x^2-3y)=x^3-3xy