What is 2/3 xy^2+2x-1/3 xy^2+2/3 x^2y-5x ?

The solution to 2/3 xy^2+2x-1/3 xy^2+2/3 x^2y-5x is -3x+1/3 xy^2+2/3 x^2y

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simplify 2/3 xy^2+2x-1/3 xy^2+2/3 x^2y-5x

simplify

\frac{2}{3} x y^{2} + 2 x - \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y - 5 x

- 3 x + \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y

Solution steps

\frac{2}{3} x y^{2} + 2 x - \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y - 5 x

Group like terms

= 2 x - 5 x + \frac{2}{3} x y^{2} - \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y

Add similar elements:

2 x - 5 x = - 3 x

= - 3 x + \frac{2}{3} x y^{2} - \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y

Factor out common term

x y^{2} : x y^{2} (\frac{2}{3} - \frac{1}{3})

= - 3 x + x y^{2} (\frac{2}{3} - \frac{1}{3}) + \frac{2}{3} x^{2} y

\frac{2}{3} - \frac{1}{3} = \frac{1}{3}

= - 3 x + x y^{2} \frac{1}{3} + \frac{2}{3} x^{2} y

= - 3 x + \frac{1}{3} x y^{2} + \frac{2}{3} x^{2} y

x^{5} + x^{4} y^{4}

2 x^{3} + x^{2} - 2 x - 1

3 x^{3} + 2 x^{2} > 8 x

3 x - 5 \leq 2

What is 2/3 xy^2+2x-1/3 xy^2+2/3 x^2y-5x ?
The solution to 2/3 xy^2+2x-1/3 xy^2+2/3 x^2y-5x is -3x+1/3 xy^2+2/3 x^2y