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

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

Ovrednoti

$$1$$

Kratka navodila za rešitev

Faktorizirajte izraze, ki še niso faktorizirani v \frac{x^{2}-2x+1}{x^{2}-x}.

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

Okrajšaj x-1 v števcu in imenovalcu.

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

Pomnožite \frac{x^{2}}{y-1} s/z \frac{x-1}{x} tako, da pomnožite števec s števcem in imenovalec z imenovalcem.

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

Okrajšaj x v števcu in imenovalcu.

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

Faktorizirajte izraze, ki še niso faktorizirani v \frac{x^{3}-x}{y-1-x\left(1-y\right)}.

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

Okrajšaj x+1 v števcu in imenovalcu.

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

Delite \frac{x\left(x-1\right)}{y-1} s/z \frac{x\left(x-1\right)}{y-1} tako, da pomnožite \frac{x\left(x-1\right)}{y-1} z obratno vrednostjo \frac{x\left(x-1\right)}{y-1}.

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

Okrajšaj x\left(x-1\right)\left(y-1\right) v števcu in imenovalcu.

$$1$$

Faktoriziraj

$$1$$