What is (6x^2y-8xy^2)/(2xy)+(x^3y^2+2x^2y^3)/(x^2y^2) ?

The solution to (6x^2y-8xy^2)/(2xy)+(x^3y^2+2x^2y^3)/(x^2y^2) is 4x-2y

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simplify (6x^2y-8xy^2)/(2xy)+(x^3y^2+2x^2y^3)/(x^2y^2)

simplify

\frac{6 x ^{2} y - 8 x y ^{2}}{2 x y} + \frac{x ^{3} y ^{2} + 2 x ^{2} y ^{3}}{x ^{2} y ^{2}}

4 x - 2 y

Solution steps

\frac{6 x ^{2} y - 8 x y ^{2}}{2 x y} + \frac{x ^{3} y ^{2} + 2 x ^{2} y ^{3}}{x ^{2} y ^{2}}

\frac{6 x ^{2} y - 8 x y ^{2}}{2 x y} = 3 x - 4 y

\frac{x ^{3} y ^{2} + 2 x ^{2} y ^{3}}{x ^{2} y ^{2}} = x + 2 y

= 3 x - 4 y + x + 2 y

Group like terms

= 3 x + x - 4 y + 2 y

Add similar elements:

3 x + x = 4 x

= 4 x - 4 y + 2 y

Add similar elements:

- 4 y + 2 y = - 2 y

= 4 x - 2 y

- 6 y + 14 > - 10 y + 42

(- 243)^{\frac{3}{5}}

16 x^{3} - 112 x^{2} - 25 x + 175

(\frac{2}{5})^{- (1)}

18 y^{3} - 6 y

What is (6x^2y-8xy^2)/(2xy)+(x^3y^2+2x^2y^3)/(x^2y^2) ?
The solution to (6x^2y-8xy^2)/(2xy)+(x^3y^2+2x^2y^3)/(x^2y^2) is 4x-2y