(ax²-2xy+y²)-(-ax²+bxy+2y²)=8x²-7xy-cy²成立,求a,b,c.
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![(ax²-2xy+y²)-(-ax²+bxy+2y²)=8x²-7xy-cy²成立,求a,b,c.](/uploads/image/z/10048644-36-4.jpg?t=%28ax%26%23178%3B-2xy%2By%26%23178%3B%29-%28-ax%26%23178%3B%2Bbxy%2B2y%26%23178%3B%29%3D8x%26%23178%3B-7xy-cy%26%23178%3B%E6%88%90%E7%AB%8B%2C%E6%B1%82a%2Cb%2Cc.)
(ax²-2xy+y²)-(-ax²+bxy+2y²)=8x²-7xy-cy²成立,求a,b,c.
(ax²-2xy+y²)-(-ax²+bxy+2y²)=8x²-7xy-cy²成立,求a,b,c.
(ax²-2xy+y²)-(-ax²+bxy+2y²)=8x²-7xy-cy²成立,求a,b,c.
由于(ax²-2xy+y²)-(-ax²+bxy+2y²)=2ax²-(2+b)xy-y²=8x²-7xy-cy²;
若欲使上面等式成立,需满足
2a=8,-(2+b)=-7,-c=-1 ;
解得:a=4,b=5,c=1