展开 (15000(x-50))/(x^4)

解答

展开

\frac{15000 ( x - 50 )}{x ^{4}}

\frac{15000}{x ^{3}} - \frac{750000}{x ^{4}}

求解步骤

\frac{15000 ( x - 50 )}{x ^{4}}

乘开

15000 (x - 50) : 15000 x - 750000

= \frac{15000 x - 750000}{x ^{4}}

使用分式法则:

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

\frac{15000 x - 750000}{x ^{4}} = \frac{15000 x}{x ^{4}} - \frac{750000}{x ^{4}}

= \frac{15000 x}{x ^{4}} - \frac{750000}{x ^{4}}

消掉

\frac{15000 x}{x ^{4}} : \frac{15000}{x ^{3}}

= \frac{15000}{x ^{3}} - \frac{750000}{x ^{4}}

e x p an d \frac{1}{50000 ( ( X ) ( X - 7 ) ( X - 14 ) ( X - 33 ) ( X - 40 ) )}

e x p an d (1 + a + a^{2}) (1 - a + a^{2})^{'}

e x p an d \frac{8 x ^{3} + 48 x ^{2} + 96 x + 64}{4 x ^{2} + 16 x + 16}

e x p an d \frac{1}{x ( 200 - x )}

e x p an d \frac{124 ! 2 !}{( 124 - 1 ) !}