化简 ((25x^3)/3+3750x^2+375000x+12500000)*20

解答

化简

(\frac{25 x ^{3}}{3} + 3750 x^{2} + 375000 x + 12500000) \cdot 20

\frac{20 ( 25 x ^{3} + 11250 x ^{2} + 1125000 x + 37500000 )}{3}

求解步骤

(\frac{25 x ^{3}}{3} + 3750 x^{2} + 375000 x + 12500000) \cdot 20

合并

\frac{25 x ^{3}}{3} + 3750 x^{2} + 375000 x + 12500000 : \frac{25 x ^{3} + 11250 x ^{2} + 1125000 x + 37500000}{3}

= \frac{25 x ^{3} + 11250 x ^{2} + 1125000 x + 37500000}{3} \cdot 20

使用分式法则:

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

= \frac{( 25 x ^{3} + 11250 x ^{2} + 1125000 x + 37500000 ) \cdot 20}{3}

= \frac{20 ( 25 x ^{3} + 11250 x ^{2} + 1125000 x + 37500000 )}{3}

e x p an d e^{7 - 43} (\frac{1}{2} + 23)

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

s im pl i f y (x - 2 - 2) (x - 2 + 2)

e x p an d \frac{2 s ^{2} + 2 s + 6}{s ( s + 1 ) ( s + 3 )}

e x p an d (x - 2) l e f t (x + 3)