作业帮已知实数a,b,c满足a²+9b²+6a-6b+10=0求代数式[6a^(m+2)b^(n+2)-4a^(m+1)b^(n+1)+2a^mb^m]/(-2a^mb^m)的值.
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![已知实数a,b,c满足a²+9b²+6a-6b+10=0求代数式[6a^(m+2)b^(n+2)-4a^(m+1)b^(n+1)+2a^mb^m]/(-2a^mb^m)的值.](/uploads/image/z/2570339-11-9.jpg?t=%E5%B7%B2%E7%9F%A5%E5%AE%9E%E6%95%B0a%2Cb%2Cc%E6%BB%A1%E8%B6%B3a%26%23178%3B%2B9b%26%23178%3B%2B6a-6b%2B10%3D0%E6%B1%82%E4%BB%A3%E6%95%B0%E5%BC%8F%5B6a%5E%28m%2B2%29b%5E%28n%2B2%29-4a%5E%28m%2B1%29b%5E%28n%2B1%29%2B2a%5Emb%5Em%5D%2F%28-2a%5Emb%5Em%29%E7%9A%84%E5%80%BC.)
已知实数a,b,c满足a²+9b²+6a-6b+10=0求代数式[6a^(m+2)b^(n+2)-4a^(m+1)b^(n+1)+2a^mb^m]/(-2a^mb^m)的值.
已知实数a,b,c满足a²+9b²+6a-6b+10=0
求代数式[6a^(m+2)b^(n+2)-4a^(m+1)b^(n+1)+2a^mb^m]/(-2a^mb^m)的值.
已知实数a,b,c满足a²+9b²+6a-6b+10=0求代数式[6a^(m+2)b^(n+2)-4a^(m+1)b^(n+1)+2a^mb^m]/(-2a^mb^m)的值.
a²+9b²+6a-6b+10=0
a²+6a+9+9b²-6b+1=0
(a+3)²+(3b-1)²=0
a=-3
b=1/3
ab=-1
[6a^(m+2)b^(n+2)-4a^(m+1)b^(n+1)+2a^mb^m]/(-2a^mb^m)
=2a^mb^n(3a^2b^2-2ab+1)/(-2a^mb^n)
=-(3a^2b^2-2ab+1)
=-(3*1+2+1)
=-6