9x2y - 6xy2 + 5xy : 3xy
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`(12x^3y^4 + 9x^3y^3 - 6xy^2) : 3xy`
`= 4x^2y^3 + 3x^2y^2 - 2y`.
\(a,3\left(x^2-7\right)-x\left(3x+5\right)=3x^2-21-3x^2-5x=-5x-21\\ b,\left(12x^2y^2-6xy\right):3xy+2y=3xy\left(4xy-2\right):3xy+2y=4xy-2+2y\)
\(c,\dfrac{4}{x+1}+\dfrac{8}{\left(x-1\right)\left(x+1\right)}=\dfrac{4\left(x-1\right)+8}{\left(x-1\right)\left(x+1\right)}=\dfrac{4x-4+8}{\left(x-1\right)\left(x+1\right)}=\dfrac{4x+4}{\left(x-1\right)\left(x+1\right)}=\dfrac{4\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}=\dfrac{4}{x-1}\)
a) \(M=5xy-\dfrac{2}{3}xy+xy\)
\(M=\dfrac{16}{3}xy\)
b) \(N=3xy^2-\left(-5xy^2\right)-3xy^2\)
\(N=3xy^2+5xy^2-3xy^2\)
\(N=5xy^2\)
a: \(=\left(4xy^2+2xy^2\right)+\left(3x^2y-3x^2y\right)=6xy^2\)
b: \(=xy\left(\dfrac{1}{5}+\dfrac{1}{3}\right)+xy^2\left(\dfrac{4}{3}-\dfrac{2}{5}\right)=\dfrac{8}{15}xy+\dfrac{14}{15}xy^2\)
d: \(=\dfrac{-4}{9}\cdot\dfrac{3}{2}\cdot xy^2\cdot xy^3=-\dfrac{2}{3}x^2y^5\)
\(Sửa:\left(9x^2y-6xy^2+5xy\right):3xy=3x-2y+\dfrac{5}{3}\)