已知:x²-6x+8y+y²+25=0,求x²+2xy+y²

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已知:x²-6x+8y+y²+25=0,求x²+2xy+y²

已知:x²-6x+8y+y²+25=0,求x²+2xy+y²
已知:x²-6x+8y+y²+25=0,求x²+2xy+y²

已知:x²-6x+8y+y²+25=0,求x²+2xy+y²
x²-6x+8y+y²+25=0
x²-6x+9+y²+8y+16=0
(x-3)²+(y+4)²=0
(x-3)²=0,(y+4)²=0
x=3
y=-4
x²+2xy+y²
=(x+y)²
=(3-4)²
=1

x²-6x+8y+y²+25=0,
x²-6x+9+y²+8y+16=0
(x-3)²+(y+4)²=0
x-3=0,y+4=0
x=3,y=-4
x²+2xy+y²=(x+y)²=(3-4)²=(-1)²=1