已知x-2y=3,求1/2x²-2xy+2y²还有一题、已知 x²+y²=20,x²+xy-2y²=2(x+2y),求x+y的值

问题描述:

已知x-2y=3,求1/2x²-2xy+2y²
还有一题、
已知 x²+y²=20,x²+xy-2y²=2(x+2y),求x+y的值

原式=(x-2y)(1/2x-y)=1/2(x-2y)(x-2y)=9/2

1/2x²-2xy+2y²
=1/2x²-xy-xy+2y²
=1/2x(x-2y)-y(x-2y)
=3/2x-3y
=3/2(x-2y)
=9/2