簡約 2/x+1/(x+1)-3

解

簡約

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

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

解答ステップ

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

結合

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

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

分数の規則を適用する:

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

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

簡素化

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

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