Riješi 6c^4-12c^3+c^2/c^3-c

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

Procijeni

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

Kratki koraci rješenja

Faktorirajte izraze koji nisu već faktorirani.

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

Otkaži c u brojiocu i imeniocu.

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

Razvijte izraz.

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

Proširi

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

Kratki koraci rješenja

Faktorirajte izraze koji nisu već faktorirani.

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

Otkaži c u brojiocu i imeniocu.

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

Razvijte izraz.

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