Question

完全平方公式（要过程，就三道）

2mx²-4mxy+2my²
x³y+2x²y²-xy³
¼x+x³-x²

Answer 1

2mx²-4mxy+2my²
=2m(x²-2xy+y²)
=2m(x-y)²

x³y+2x²y²-xy³
=xy(x²+2xy-y)²
(应该是+y²吧？，不然不是完全平方)

¼x+x³-x²
=1/4x(4x²-4x+1)
=1/4x(2x-1)²

Answer 2

1:2m(x-y)的平方
2:第二个是错题，你看一下是不是最后的那个是加号 应该是xy(x+y)的平方
3:x(x-1/2)的平方

Answer 3

2mx²-4mxy+2my²
=2m(x²-2xy+y²)
=2m(x-y)²
x³y+2x²y²+xy³
=xy(x²+2xy+y²)
=xy(x+y)²
¼x+x³-x²
=x(x²-x+1/4)
=x(x-1/2)²