What is ((2x))/((3(x+1)))-((3x))/((3(x-2))) ?

The solution to ((2x))/((3(x+1)))-((3x))/((3(x-2))) is (-x^2-7x)/(3(x+1)(x-2))

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simplify ((2x))/((3(x+1)))-((3x))/((3(x-2)))

simplify

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

\frac{- x ^{2} - 7 x}{3 ( x + 1 ) ( x - 2 )}

Solution steps

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

Cancel the common factor:

3

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

Simplify

\frac{2 x}{3 ( x + 1 )} - \frac{x}{x - 2} : \frac{2 x ( x - 2 ) - x \cdot 3 ( x + 1 )}{3 ( x + 1 ) ( x - 2 )}

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

Simplify

2 x (x - 2) - x \cdot 3 (x + 1) : - x^{2} - 7 x

= \frac{- x ^{2} - 7 x}{3 ( x + 1 ) ( x - 2 )}

216 n^{3} - 1331 m^{3}

(- 2 x^{3} y^{2} z)^{3}

\frac{x ^{- 4}}{2}

\frac{( 13 b ^{2} - 9 b ^{6} + 7 b ^{4} )}{b ^{4}}

9 x + 10 + 21 x - 31 x - 2 x

What is ((2x))/((3(x+1)))-((3x))/((3(x-2))) ?
The solution to ((2x))/((3(x+1)))-((3x))/((3(x-2))) is (-x^2-7x)/(3(x+1)(x-2))