Réitigh x^2/y-1*x^2-2x+1/x^2-xdivx^3-x/(y-1)-x/1-y

$$\frac { x ^ { 2 } } { y - 1 } \times \frac { x ^ { 2 } - 2 x + 1 } { x ^ { 2 } - x } \div \frac { x ^ { 3 } - x } { ( y - 1 ) - x / 1 - y }$$

Luacháil

$$-\frac{1}{y-1}$$

Céimeanna gearra réitigh

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana in \frac{x^{2}-2x+1}{x^{2}-x}.

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

Cealaigh x-1 mar uimhreoir agus ainmneoir.

$$\frac{\frac{x^{2}}{y-1}\times \frac{x-1}{x}}{\frac{x^{3}-x}{y-1-\frac{x}{1}-y}}$$

Méadaigh \frac{x^{2}}{y-1} faoi \frac{x-1}{x} tríd an uimhreoir a mhéadú faoin uimhreoir agus an t-ainmneoir a mhéadú faoin ainmneoir.

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

Cealaigh x mar uimhreoir agus ainmneoir.

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

Tugann aon rud a roinntear ar a haon é féin.

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

Comhcheangail y agus -y chun 0 a fháil.

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

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana in \frac{x^{3}-x}{-1-x}.

$$\frac{\frac{x\left(x-1\right)}{y-1}}{\frac{x\left(x-1\right)\left(x+1\right)}{-x-1}}$$

Bain an comhartha diúltach in: 1+x.

$$\frac{\frac{x\left(x-1\right)}{y-1}}{\frac{-x\left(x-1\right)\left(-x-1\right)}{-x-1}}$$

Cealaigh -x-1 mar uimhreoir agus ainmneoir.

$$\frac{\frac{x\left(x-1\right)}{y-1}}{-x\left(x-1\right)}$$

Fairsingigh an slonn.

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

Scríobh \frac{\frac{x\left(x-1\right)}{y-1}}{-x^{2}+x} mar chodán aonair.

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

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.

$$\frac{x\left(x-1\right)}{x\left(y-1\right)\left(-x+1\right)}$$

Bain an comhartha diúltach in: -1+x.

$$\frac{-x\left(-x+1\right)}{x\left(y-1\right)\left(-x+1\right)}$$

Cealaigh x\left(-x+1\right) mar uimhreoir agus ainmneoir.

$$\frac{-1}{y-1}$$

Fairsingigh

$$-\frac{1}{y-1}$$

Céimeanna gearra réitigh

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana in \frac{x^{2}-2x+1}{x^{2}-x}.

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

Cealaigh x-1 mar uimhreoir agus ainmneoir.

$$\frac{\frac{x^{2}}{y-1}\times \frac{x-1}{x}}{\frac{x^{3}-x}{y-1-\frac{x}{1}-y}}$$

Méadaigh \frac{x^{2}}{y-1} faoi \frac{x-1}{x} tríd an uimhreoir a mhéadú faoin uimhreoir agus an t-ainmneoir a mhéadú faoin ainmneoir.

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

Cealaigh x mar uimhreoir agus ainmneoir.

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

Tugann aon rud a roinntear ar a haon é féin.

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

Comhcheangail y agus -y chun 0 a fháil.

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

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana in \frac{x^{3}-x}{-1-x}.

$$\frac{\frac{x\left(x-1\right)}{y-1}}{\frac{x\left(x-1\right)\left(x+1\right)}{-x-1}}$$

Bain an comhartha diúltach in: 1+x.

$$\frac{\frac{x\left(x-1\right)}{y-1}}{\frac{-x\left(x-1\right)\left(-x-1\right)}{-x-1}}$$

Cealaigh -x-1 mar uimhreoir agus ainmneoir.

$$\frac{\frac{x\left(x-1\right)}{y-1}}{-x\left(x-1\right)}$$

Fairsingigh an slonn.

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

Scríobh \frac{\frac{x\left(x-1\right)}{y-1}}{-x^{2}+x} mar chodán aonair.

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

Fachtóirigh na sloinn nach bhfuil fachtóirithe cheana.

$$\frac{x\left(x-1\right)}{x\left(y-1\right)\left(-x+1\right)}$$

Bain an comhartha diúltach in: -1+x.

$$\frac{-x\left(-x+1\right)}{x\left(y-1\right)\left(-x+1\right)}$$

Cealaigh x\left(-x+1\right) mar uimhreoir agus ainmneoir.

$$\frac{-1}{y-1}$$