化简 8/x+1/((9-7x))

解答

化简

\frac{8}{x} + \frac{1}{( 9 - 7 x )}

\frac{- 55 x + 72}{x ( - 7 x + 9 )}

求解步骤

\frac{8}{x} + \frac{1}{9 - 7 x}

x, 9 - 7 x

的最小公倍数:

x (- 7 x + 9)

根据最小公倍数调整分式

= \frac{8 ( - 7 x + 9 )}{x ( - 7 x + 9 )} + \frac{x}{x ( - 7 x + 9 )}

使用分式法则:

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

= \frac{8 ( - 7 x + 9 ) + x}{x ( - 7 x + 9 )}

化简

8 (- 7 x + 9) + x : - 55 x + 72

= \frac{- 55 x + 72}{x ( - 7 x + 9 )}

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