已知x+y=3,xy=2,求下列各式的值 (1)x²y+xy² (2)(x-y)平方

问题描述:

已知x+y=3,xy=2,求下列各式的值 (1)x²y+xy² (2)(x-y)平方

已知x+y=3,xy=2,所以
(1)
x²y+xy²
=xy(x+y)
=2*3
6
(2)
(x-y)²
=x²-2xy+y²
=x²+2xy+y²-4xy
=(x+y)²-4xy
=3²-4*2
=9-8
=1

解(1)x²y+xy²
=xy(x+y)
=2×3
=6
(1)(x-y)²
=(x+y)²-4xy
=3²-4×2
=9-8
=1
有什么不明白的可以继续追问,