题目内容
已知x+y=4,xy=2,求(x-y)2,x3+y3.
(x-y)2,
=(x+y) 2-4xy,
=42-4×2,
=8;
x3+y3=(x+y)(x2-xy+y2),
=(x+y)[(x2+2xy+y2)-3xy],
=(x+y)[(x+y)2-3xy],
=4×(42-3×2),
=40.
=(x+y) 2-4xy,
=42-4×2,
=8;
x3+y3=(x+y)(x2-xy+y2),
=(x+y)[(x2+2xy+y2)-3xy],
=(x+y)[(x+y)2-3xy],
=4×(42-3×2),
=40.
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