展开 (x^2-3x+2)^6

解答

展开

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

x^{12} - 18 x^{11} + 147 x^{10} - 720 x^{9} + 2355 x^{8} - 5418 x^{7} + 8989 x^{6} - 10836 x^{5} + 9420 x^{4} - 5760 x^{3} + 2352 x^{2} - 576 x + 64

求解步骤

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

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

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

乘开

(x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) (x^{2} - 3 x + 2) : x^{12} - 18 x^{11} + 147 x^{10} - 720 x^{9} + 2355 x^{8} - 5418 x^{7} + 8989 x^{6} - 10836 x^{5} + 9420 x^{4} - 5760 x^{3} + 2352 x^{2} - 576 x + 64

= x^{12} - 18 x^{11} + 147 x^{10} - 720 x^{9} + 2355 x^{8} - 5418 x^{7} + 8989 x^{6} - 10836 x^{5} + 9420 x^{4} - 5760 x^{3} + 2352 x^{2} - 576 x + 64

e x p an d 48 (\frac{7}{3} - ln (3))

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

e x p an d (t - 1) H (t - 1)

e x p an d \frac{18 - 12 x}{( 4 x - 1 ) ( x - 4 )}

e x p an d \frac{- 2 x - 18}{( 3 x + 1 ) ( x - 4 )}