(1)x³+y³=(x+y)(x²-xy+y²)
=(x+y)[(x+y)^2-3xy]
=3x[9-3x(-2)]
=45
设这个单项式为y 则有完全平方式(x+y)=x²+2xy+y²
与原式匹配的话有:2y=1 y=1/2 则y²=1/4
则这个单项式为1/4
x^3+y^3
= (x+y) (x^2-xy+y^2)
=(x+y)(x^2+2xy+y^2-3xy)
=(x+y)[(x+y)^2-3xy]
=3[9-3*(-2)]
=3(9+6)
=45
45