展开 ((x^2-x-1)^3)/(2x-1)

解答

展开

\frac{( x ^{2} - x - 1 ) ^{3}}{2 x - 1}

\frac{x ^{6} - 3 x ^{5} + 5 x ^{3} - 3 x - 1}{2 x - 1}

求解步骤

\frac{( x ^{2} - x - 1 ) ^{3}}{2 x - 1}

(x^{2} - x - 1)^{3} = x^{6} - 3 x^{5} + 5 x^{3} - 3 x - 1

= \frac{x ^{6} - 3 x ^{5} + 5 x ^{3} - 3 x - 1}{2 x - 1}

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

e x p an d (x + y + z + w + u)^{3}

e x p an d 2 (x - 2 y = 10)

e x p an d 5 (5 x^{2} - 2 x + 1)^{2}

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