簡約 1/((x-3))+1/x-9

解

簡約

\frac{1}{( x - 3 )} + \frac{1}{x} - 9

\frac{- 9 x ^{2} + 29 x - 3}{x ( x - 3 )}

解答ステップ

\frac{1}{x - 3} + \frac{1}{x} - 9

結合

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

= \frac{2 x - 3}{x ( x - 3 )} - 9

分数の規則を適用する:

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

= \frac{- 9 x ( x - 3 ) + 2 x - 3}{x ( x - 3 )}

簡素化

- 9 x (x - 3) + 2 x - 3 : - 9 x^{2} + 29 x - 3

= \frac{- 9 x ^{2} + 29 x - 3}{x ( x - 3 )}