\(a.3x^2y+\left(-4\right)x^2y+6x^2y\)

\(x^2y\left(3-4+6\right)\)

\(5x^2y\)

\(b.\left(-7\right)xy+\left(-12-12\right)+10xy\)

\(xy\left(-7+10\right)-24\)

\(3xy-24\)

\(3\left(xy-8\right)\)

\(c.12xyz+8xyz+\left(-5\right)xyz\)

\(xyz\left(12+8-5\right)\)

\(15xyz\)

a) 5x^2y

b) 3xy-24

c) 15xyz

A= 6x⁴-5x²+4x-3x⁴+2x³    

A = 3x⁴ -5x² +2x³  

Bậc là: 4

B= -5x³y²+4x²y²-x³+8x²y²+5x³y²

B = 12x²y² -x³ 

Bậc là : 4

a) \(\left(\dfrac{3}{5}a^6x^3+\dfrac{3}{7}a^3x^4-\dfrac{9}{10}ax^5\right):\dfrac{3}{5}ax^3\)

\(=\dfrac{\dfrac{3}{5}a^6x^3+\dfrac{3}{7}a^3x^4-\dfrac{9}{10}ax^5}{\dfrac{3}{5}ax^3}\)

\(=\dfrac{\dfrac{3}{5}ax^3\left(a^5+\dfrac{5}{7}a^2x-\dfrac{3}{2}x^2\right)}{\dfrac{3}{5}ax^3}\)

\(=a^5+\dfrac{5}{7}a^2x-\dfrac{3}{2}x^2\)

b) \(\left(9x^2y^3-15x^4y^4\right):3x^2y-\left(2-3x^2y\right)\cdot y^2\)

\(=\dfrac{3x^2y\left(3y^2-5x^2y^3\right)}{3x^2y}-2y^2+3x^2y^3\)

\(=3y^2-5x^2y^3-2y^2+3x^2y^3\)

\(=y^2-2x^2y^3\)

c) \(\left(6x^2-xy\right):x+\left(2x^3y+3xy^2\right):xy-\left(2x-1\right)x\)

\(=\dfrac{6x^2-xy}{x}+\dfrac{2x^3y+3xy^2}{xy}-x\left(2x-1\right)\)

\(=\dfrac{x\left(6x-y\right)}{x}+\dfrac{xy\left(2x^2+3y\right)}{xy}-2x^2+x\)

\(=6x-y+2x^2+3y-2x^2+x\)

\(=7x+2y\)

d) \(\left(x^2-xy\right):x+\left(6x^2y^5-9x^3y^4+15x^4y^2\right):\dfrac{3}{2}x^2y^3\)

\(=\dfrac{x^2-xy}{x}+\dfrac{6x^2y^5-9x^3y^4+15x^4y^2}{\dfrac{3}{2}x^2y^3}\)

\(=\dfrac{x\left(x-y\right)}{x}+\dfrac{\dfrac{3}{2}x^2y^2\left(4y^3-6xy^2+10x^2\right)}{\dfrac{3}{2}x^2y^3}\)

\(=x-y+\dfrac{4y^3-6xy^2+10x^2}{y}\)

\(=-2x^3y^2-2x^2y^2+\dfrac{2}{3}xy^3\)

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giúp mk =.=" 

\(3x^2y-x+xy=6\)

\(\Rightarrow xy\left(3x+1\right)=x+6\)

\(\Rightarrow y=\dfrac{x+6}{x\left(3x+1\right)}\left(x\ne0\right)\)

-Vì x,y là các số nguyên \(\Rightarrow\left(x+6\right)⋮\left[x\left(3x+1\right)\right]\)

\(\Rightarrow\left(x+6\right)⋮x\) và \(\left(x+6\right)⋮\left(3x+1\right)\)

\(\Rightarrow6⋮x\) và \(\left(3x+18\right)⋮\left(3x+1\right)\)

\(\Rightarrow x\inƯ\left(6\right)\) và \(\left(3x+1+17\right)⋮\left(3x+1\right)\)

\(\Rightarrow x\in\left\{1;2;3;6;-1;-2;-3;-6\right\}\) và \(17⋮\left(3x+1\right)\)

\(\Rightarrow x\in\left\{1;2;3;6;-1;-2;-3;-6\right\}\) và \(3x+1\inƯ\left(17\right)\)

\(\Rightarrow x\in\left\{1;2;3;6;-1;-2;-3;-6\right\}\) và \(3x+1\in\left\{1;17;-1;-17\right\}\)

\(\Rightarrow x\in\left\{1;2;3;6;-1;-2;-3;-6\right\}\) và \(x=-6\)

\(\Rightarrow x=-6\Rightarrow y=\dfrac{-6+6}{-6.\left[3.\left(-6\right)+1\right]}=0\)

\(a,15x^3y^2-9x^3y^3+6x^3y^3\\ b,12x^3+6x^2y-2x-6x^2y-3xy^2-y\\ =12x^3-2x-3xy^2-y\\ c,4x^2y^3-1\)

a,

\(=15x^3y^2-9x^3y^3+6x^2y^3\)

b

\(=12x^2-2x-3xy^2+y\)