Réitigh frac{x^{3}+x}{x^2-x}:x^3-x^2/x^2-2x+1

$$\frac { x ^ { 3 } + x } { x ^ { 2 } - x } : \frac { x ^ { 3 } - x ^ { 2 } } { x ^ { 2 } - 2 x + 1 }$$

Luacháil

$$1+\frac{1}{x^{2}}$$

Céimeanna gearra réitigh

Roinn \frac{x^{3}+x}{x^{2}-x} faoi \frac{x^{3}-x^{2}}{x^{2}-2x+1} trí \frac{x^{3}+x}{x^{2}-x} a mhéadú faoi dheilín \frac{x^{3}-x^{2}}{x^{2}-2x+1}.

$$\frac{\left(x^{3}+x\right)\left(x^{2}-2x+1\right)}{\left(x^{2}-x\right)\left(x^{3}-x^{2}\right)}$$

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.

$$\frac{x\left(x-1\right)^{2}\left(x^{2}+1\right)}{xx^{2}\left(x-1\right)^{2}}$$

Cealaigh x\left(x-1\right)^{2} mar uimhreoir agus ainmneoir.

$$\frac{x^{2}+1}{x^{2}}$$

Fairsingigh

$$1+\frac{1}{x^{2}}$$

Céimeanna gearra réitigh

Roinn \frac{x^{3}+x}{x^{2}-x} faoi \frac{x^{3}-x^{2}}{x^{2}-2x+1} trí \frac{x^{3}+x}{x^{2}-x} a mhéadú faoi dheilín \frac{x^{3}-x^{2}}{x^{2}-2x+1}.

$$\frac{\left(x^{3}+x\right)\left(x^{2}-2x+1\right)}{\left(x^{2}-x\right)\left(x^{3}-x^{2}\right)}$$

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.

$$\frac{x\left(x-1\right)^{2}\left(x^{2}+1\right)}{xx^{2}\left(x-1\right)^{2}}$$

Cealaigh x\left(x-1\right)^{2} mar uimhreoir agus ainmneoir.

$$\frac{x^{2}+1}{x^{2}}$$