已知x、y,满足:x눀+y눀-4x+6y+13=0求代数式(3x+y)눀-3(3x-y)(x+y)-(x-3y)(x+3y)的值

2024-12-22 00:22:40
推荐回答(1个)
回答1:

x²+y²-4x+6y+13=0
x²-4x+4+y²+6y+9=0
(x-2)²+(y+3)²=0
∴x-2=0
y+3=0
∴x=2
y=-3

(3x+y)²-3(3x-y)(x+y)-(x-3y)(x+3y)
=9x²+6xy+y²-9x²-6xy+3y²-x²+9y²
=13y²
=13×9
=117