已知X²+4X+4与Y²-6Y+9互为相反数.多项式X²-6XY+9Y²的值
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![已知X²+4X+4与Y²-6Y+9互为相反数.多项式X²-6XY+9Y²的值](/uploads/image/z/1670410-10-0.jpg?t=%E5%B7%B2%E7%9F%A5X%26%23178%3B%2B4X%2B4%E4%B8%8EY%26%23178%3B-6Y%2B9%E4%BA%92%E4%B8%BA%E7%9B%B8%E5%8F%8D%E6%95%B0.%E5%A4%9A%E9%A1%B9%E5%BC%8FX%26%23178%3B-6XY%2B9Y%26%23178%3B%E7%9A%84%E5%80%BC)
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已知X²+4X+4与Y²-6Y+9互为相反数.多项式X²-6XY+9Y²的值
已知X²+4X+4与Y²-6Y+9互为相反数.多项式X²-6XY+9Y²的值
已知X²+4X+4与Y²-6Y+9互为相反数.多项式X²-6XY+9Y²的值
X²+4X+4与Y²-6Y+9互为相反数.
所以
(x+2)²+(y-3)²=0
即
x+2=0,y-3=0
x=-2
y=3
所以
X²-6XY+9Y²
=(x-3y)²
=(-2-9)²
=121