x+y=1.求x3+y3+3xy
问题描述:
x+y=1.求x3+y3+3xy
答
x^3+y^3+3xy
=(x+y)(x^2-xy+y^2)+3xy
=x^2-xy+y^2+3xy
=(x+y)^2
=1
答
x³+y³+3xy
=(x+y)³-3x²y-3xy²+3xy
=1-3xy(x+y-1)
=1-0
1
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