已知x+y=2000 x-y=0.005 求x^2-y^2-200x+200y的值
问题描述:
已知x+y=2000 x-y=0.005 求x^2-y^2-200x+200y的值
答
x^2-y^2-200x+200y
=(x-y)(x+y)-200(x-y)
=(x-y)(x+y-200)
=0.005*(2000-200)
=0.005*1800
=9