`***`Lời giải`***`
a)
`A=x(x+2)+y(y-2)-2xy+37`
`=(x^2+2x+y^2-2y-2xy+1)+36`
`=(x^2-xy+x-xy+y^2-y+x-y+1)+36`
`=[x(x-y+1)-y(x-y+1)+x-y+1]+36`
`=(x-y+1)(x-y+1)+36`
`=(x-y+1)^2+36`
Thay `x-y=7`
Ta có:`A=(7+1)^2+36=8^2+36=100`
b)
`B=x^2+4y^2-2x+10+4xy-4y`
`=(x^2+4xy+4y^2)+(-2x-4y)+10`
`=(x+2y)^2-2(x+2y)+10`
`=(x+2y)(x+2y-2)+10`
`=(x+2y)(x+2y-2)+10`
Thay `x+2y=5`
Ta có:` B=5(5-2)+10=5.3+10=25`