`A=x(x+2)+y(y-2)-2xy+37`
`A=x^2+2x+y^2-2y-2xy+37`
`A=(x^2-2xy+y^2)+2x-2y+37`
`A=(x-y)^2+2(x-y)+37`
Mà `x-y=7`
`⇒A=7^2+2.7+37`
`⇒A=49+14+37`
`⇒A=100`
Vậy `A=100`
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`B=x^2+4y^2-2x+4xy-4y`
`B=x^2+(2y)^2+(-1)^2+2.(-1).x+2.2y.x+2.(-1).2y-1`
`B=[x+2y+(-1)]^2-1`
`B=(x+2y-1)^2-1`
`B=(x+2y-1-1)(x+2y-1+1)`
`B=(x+2y-2)(x+2y)`
Mà `x+2y=5`
`⇒B=(5-2).5=3.5=15`
Vậy `B=15`