化简 6/(m-3)-(5m)/(m+3)

解答

化简

\frac{6}{m - 3} - \frac{5 m}{m + 3}

\frac{- 5 m ^{2} + 21 m + 18}{( m - 3 ) ( m + 3 )}

求解步骤

\frac{6}{m - 3} - \frac{5 m}{m + 3}

m - 3, m + 3

的最小公倍数:

(m - 3) (m + 3)

根据最小公倍数调整分式

= \frac{6 ( m + 3 )}{( m - 3 ) ( m + 3 )} - \frac{5 m ( m - 3 )}{( m - 3 ) ( m + 3 )}

使用分式法则:

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

= \frac{6 ( m + 3 ) - 5 m ( m - 3 )}{( m - 3 ) ( m + 3 )}

化简

6 (m + 3) - 5 m (m - 3) : - 5 m^{2} + 21 m + 18

= \frac{- 5 m ^{2} + 21 m + 18}{( m - 3 ) ( m + 3 )}

\frac{2 x ( x - 4 )}{x - 1} \leq 7

\frac{x + 26}{x + 5} < 5

s im pl i f y lo g_{10} (0.3)

42.6 x - 29.4 = - 3.5 x

s im pl i f y b^{5} x^{- 9} y^{7}