giúp e vs nhaa
a: \(A⋮B\)
=>\(5x^3y^2-7x^2y^3+6xy^4⋮-2x^ny^m\)
=>\(\left\{{}\begin{matrix}3>=n;2>=n;1>=n\\2>=m;3>=m;4>=m\\\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}n< =1\\m< =2\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}n_{max}=1\\m_{max}=2\end{matrix}\right.\)
b: Khi n=1;m=2 thì \(B=-2x^1y^2=-2xy^2\)
\(\dfrac{A}{B}=\dfrac{5x^3y^2-7x^2y^3+6xy^4}{-2xy^2}\)
\(=-\dfrac{5x^3y^2}{2xy^2}+\dfrac{7x^2y^3}{2xy^2}-\dfrac{6xy^4}{2xy^2}\)
\(=-\dfrac{5}{2}x^2+\dfrac{7}{2}xy-3y^2\)
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