Question

$$\cdot(2x+y)+(x-2y)+(^{-}3x+y)$$

Answer

$$3*x+x/^3$$

Solution


Use Negative Power Rule: \({x}^{-a}=\frac{1}{{x}^{a}}\).
\[(2x+y)+x-2y+\frac{1}{{}^{3}}x+y\]
Simplify  \(\frac{1}{{}^{3}}x\)  to  \(\frac{x}{{}^{3}}\).
\[(2x+y)+x-2y+\frac{x}{{}^{3}}+y\]
Collect like terms.
\[(2x+y)+x+(-2y+y)+\frac{x}{{}^{3}}\]
Simplify.
\[(2x+y)+x-y+\frac{x}{{}^{3}}\]
Expand by distributing terms.
\[2x+y+x-y+\frac{x}{{}^{3}}\]
Collect like terms.
\[(2x+x)+(y-y)+\frac{x}{{}^{3}}\]
Simplify.
\[3x+\frac{x}{{}^{3}}\]