已知x-2y=3,x눀-2xy+4y눀=11,求下列各值; (1)xy (2)x눀-2xy눀

2024-12-20 16:27:45
推荐回答(1个)
回答1:

x-2y=3,
两边平方,
x²-4xy+4y²=9 (1)
x²-2xy+4y²=11 (2)
两式相减,
2xy=2
xy=1

x²y-2xy² 这题是不是少了y
=xy(x-2y)
=1×3
=3

因式分解:

-x²+4x-4
=-(x²-4x+4)
=-(x-2)²

4x³-4x²y-(x-y)

=4x²(x-y)-(x-y)
=(x-y)(4x²-1)
=(x-y)(2x+1)(2x-1)