展开-(5(-23m-12n+396))/(108)

解答

展开

- \frac{5 ( - 23 m - 12 n + 396 )}{108}

\frac{115 m}{108} + \frac{5 n}{9} - \frac{55}{3}

求解步骤

- \frac{5 ( - 23 m - 12 n + 396 )}{108}

乘开

5 (- 23 m - 12 n + 396) : - 115 m - 60 n + 1980

= - \frac{1980 - 115 m - 60 n}{108}

使用分式法则:

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

\frac{- 115 m - 60 n + 1980}{108} = - (- \frac{115 m}{108}) - (- \frac{60 n}{108}) - (\frac{1980}{108})

= - (- \frac{115 m}{108}) - (- \frac{60 n}{108}) - (\frac{1980}{108})

去除括号:

(a) = a, - (- a) = a

= \frac{115 m}{108} + \frac{60 n}{108} - \frac{1980}{108}

消掉

\frac{60 n}{108} : \frac{5 n}{9}

= \frac{115 m}{108} + \frac{5 n}{9} - \frac{1980}{108}

消掉

\frac{1980}{108} : \frac{55}{3}

= \frac{115 m}{108} + \frac{5 n}{9} - \frac{55}{3}

e x p an d (2 x + y = 6,) (a x - y = 7)

e x p an d \frac{3}{[ ( x + 8 ) ( x - 2 ) ]}

e x p an d x (3 x y - 6 y^{3} + 6) d x + (x^{3} - 6 x^{2} y^{2} - 1) d y

e x p an d (- 5, - 7, 1) l e f t (1, 0, - 3)

s im pl i f y (\frac{9}{x - 12} + 3 (100 - x)) (x - 12)