现规定一种新运算:x*y=(x+y)-(x-y),其中x,y为有理数,则x*y+(x+y)*(x-y)等于多少

问题描述:

现规定一种新运算:x*y=(x+y)-(x-y),其中x,y为有理数,则x*y+(x+y)*(x-y)等于多少

x*y+(x+y)*(x-y)
=(x+y)-(x-y)+(x+y+x-y)-(x+y-x+y)
=2y+2x-2y
=2x

x*y+(x+y)*(x-y)
=(x+y)-(x-y)+(x+y+x-y)-(x+y-x+y)
=-2y+2x-2y
=2x-4y