Resolver 6c^4-12c^3+c^2/c^3-c

$$\frac { 6 c ^ { 4 } - 12 c ^ { 3 } + c ^ { 2 } } { c ^ { 3 } - c }$$

Calcular

$$\frac{c\left(6c^{2}-12c+1\right)}{c^{2}-1}$$

Pasos de solución curta

Factoriza as expresións que aínda non o están.

$$\frac{6\left(c-\left(-\frac{1}{6}\sqrt{30}+1\right)\right)\left(c-\left(\frac{1}{6}\sqrt{30}+1\right)\right)c^{2}}{c\left(c-1\right)\left(c+1\right)}$$

Anula c no numerador e no denominador.

$$\frac{6c\left(c-\left(-\frac{1}{6}\sqrt{30}+1\right)\right)\left(c-\left(\frac{1}{6}\sqrt{30}+1\right)\right)}{\left(c-1\right)\left(c+1\right)}$$

Expande a expresión.

$$\frac{6c^{3}-12c^{2}+c}{c^{2}-1}$$

Expandir

$$\frac{6c^{3}-12c^{2}+c}{c^{2}-1}$$

Pasos de solución curta

Factoriza as expresións que aínda non o están.

$$\frac{6\left(c-\left(-\frac{1}{6}\sqrt{30}+1\right)\right)\left(c-\left(\frac{1}{6}\sqrt{30}+1\right)\right)c^{2}}{c\left(c-1\right)\left(c+1\right)}$$

Anula c no numerador e no denominador.

$$\frac{6c\left(c-\left(-\frac{1}{6}\sqrt{30}+1\right)\right)\left(c-\left(\frac{1}{6}\sqrt{30}+1\right)\right)}{\left(c-1\right)\left(c+1\right)}$$

Expande a expresión.

$$\frac{6c^{3}-12c^{2}+c}{c^{2}-1}$$