已知x+y=2,求x3+6xy+y3的值

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已知x+y=2,求x3+6xy+y3的值
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已知x+y=2,求x3+6xy+y3的值
已知x+y=2,求x3+6xy+y3的值

已知x+y=2,求x3+6xy+y3的值
x3+6xy+y3
=x3+y3+6xy
=(x+y)(x2-xy+y2)+6xy
=2(x2-xy+y2)+6xy
=2x2+4xy+2y2
=2(x2+2xy+y2)
=2(x+y)2
=2*4
=8

肯定还有别的条件啊

令y=2-x,代进去!问这种问题并不可耻,为什么要匿名呢!

x3+6xy+y3
=(x+y)(x^2-xy+y^2)+6xy
=2(x^2-xy+y^2)+6xy
=2(x^2+2xy+y^2)
=2(x+y)^2
=8

x^3+6xy+y^3
=(x+y)(x^2-xy+y^2)+6xy
=2(x^2-xy+y^2)+6xy
=2(x^2+3xy+y^2-xy)
=2(x+y)^2
=8