利用因式分解计算​1/2x(x-y)^2-1/5y(x-y)

问题描述:

利用因式分解计算​1/2x(x-y)^2-1/5y(x-y)
1/2x(x-y)^2-1/5y(x-y)
4444^2-4443^2

1/2x(x-y)^2-1/5y(x-y)
=(x-y)[1/2(x-y)-1/5y]
=(x-y)(1/2x-1/2y-1/5y)
=(x-y)(12/x-7/10y)
4444^2-4443^2
=(4444+4443)(4444-4443)
=8887x1
=8887