展开 (2x^3-8x+2)^6

解答

展开

(2 x^{3} - 8 x + 2)^{6}

64 x^{18} - 1536 x^{16} + 384 x^{15} + 15360 x^{14} - 7680 x^{13} - 80960 x^{12} + 61440 x^{11} + 230400 x^{10} - 244480 x^{9} - 301056 x^{8} + 476160 x^{7} + 17344 x^{6} - 331776 x^{5} + 238080 x^{4} - 81536 x^{3} + 15360 x^{2} - 1536 x + 64

求解步骤

(2 x^{3} - 8 x + 2)^{6}

(2 x^{3} - 8 x + 2)^{6} = (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2)

= (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2)

乘开

(2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) (2 x^{3} - 8 x + 2) : 64 x^{18} - 1536 x^{16} + 384 x^{15} + 15360 x^{14} - 7680 x^{13} - 80960 x^{12} + 61440 x^{11} + 230400 x^{10} - 244480 x^{9} - 301056 x^{8} + 476160 x^{7} + 17344 x^{6} - 331776 x^{5} + 238080 x^{4} - 81536 x^{3} + 15360 x^{2} - 1536 x + 64

= 64 x^{18} - 1536 x^{16} + 384 x^{15} + 15360 x^{14} - 7680 x^{13} - 80960 x^{12} + 61440 x^{11} + 230400 x^{10} - 244480 x^{9} - 301056 x^{8} + 476160 x^{7} + 17344 x^{6} - 331776 x^{5} + 238080 x^{4} - 81536 x^{3} + 15360 x^{2} - 1536 x + 64

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

e x p an d 1 - 2 (x (4 - x))

e x p an d d (0.45)

e x p an d (2, 0) y (0, - 4)

e x p an d (8 x + 2 y + 1) d y