Lutasin ang 6c^4-12c^3+c^2/c^3-c

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

I-evaluate

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

Maiikling Hakbang sa Solution

I-factor ang mga expression na hindi pa na-factor.

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

I-cancel out ang c sa parehong numerator at denominator.

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

Palawakin ang expression.

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

Palawakin

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

Maiikling Hakbang sa Solution

I-factor ang mga expression na hindi pa na-factor.

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

I-cancel out ang c sa parehong numerator at denominator.

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

Palawakin ang expression.

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