展开 (3(8x^3-5))/((2x^4-5x)^4)

解答

展开

\frac{3 ( 8 x ^{3} - 5 )}{( 2 x ^{4} - 5 x ) ^{4}}

\frac{24 x ^{3} - 15}{16 x ^{16} - 160 x ^{13} + 600 x ^{10} - 1000 x ^{7} + 625 x ^{4}}

求解步骤

\frac{3 ( 8 x ^{3} - 5 )}{( 2 x ^{4} - 5 x ) ^{4}}

(2 x^{4} - 5 x)^{4} = 16 x^{16} - 160 x^{13} + 600 x^{10} - 1000 x^{7} + 625 x^{4}

= \frac{3 ( 8 x ^{3} - 5 )}{16 x ^{16} - 160 x ^{13} + 600 x ^{10} - 1000 x ^{7} + 625 x ^{4}}

乘开

3 (8 x^{3} - 5) : 24 x^{3} - 15

= \frac{24 x ^{3} - 15}{16 x ^{16} - 160 x ^{13} + 600 x ^{10} - 1000 x ^{7} + 625 x ^{4}}

s im pl i f y ((cos^{2} (t))) \cdot (- sin (t) + cos (t))

e x p an d (arctan (x - 2) - 5 x^{\frac{3}{2}})^{2}

s im pl i f y δ (x - 4) - e^{- 4 x} cos (2 x) + 3 x^{4}

e x p an d \frac{5}{s ^{2} ( s ^{2} - 10 s + 9 )}

e x p an d (x^{4} - 2) (x^{2} + 4)^{'}