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

The solution to simplify-2/((x-1))+1-((x+1))/((x+2)) is (-x-5)/((x-1)(x+2))

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

simplify

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

\frac{- x - 5}{( x - 1 ) ( x + 2 )}

Solution steps

- \frac{2}{x - 1} + 1 - \frac{x + 1}{x + 2}

Join

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

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

Apply the fraction rule:

1 + \frac{b}{c} = \frac{c + b}{c}

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

Simplify

(x - 1) (x + 2) - 2 (x + 2) - (x + 1) (x - 1) : - x - 5

= \frac{- x - 5}{( x - 1 ) ( x + 2 )}

20 x^{2} - 45 y^{2}

\frac{( \frac{( m + 1 )}{2} - \frac{( m - 1 )}{3} )}{( \frac{( m + 1 )}{5} )}

(1 - x^{3})^{4}

\frac{( 8 x + 64 y )}{( - 4 )}

5 x y - 15 x^{3} y^{3}

What is simplify-2/((x-1))+1-((x+1))/((x+2)) ?
The solution to simplify-2/((x-1))+1-((x+1))/((x+2)) is (-x-5)/((x-1)(x+2))