Issolvi x^2/x-y*(1/x-1/y)

$$\frac { x ^ { 2 } } { x - y } \cdot ( \frac { 1 } { x } - \frac { 1 } { y } )$$

Evalwa

$$-\frac{x}{y}$$

Passi tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x u y huwa xy. Immultiplika \frac{1}{x} b'\frac{y}{y}. Immultiplika \frac{1}{y} b'\frac{x}{x}.

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

Billi \frac{y}{xy} u \frac{x}{xy} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{x^{2}}{x-y}\times \frac{y-x}{xy}$$

Immultiplika \frac{x^{2}}{x-y} b'\frac{y-x}{xy} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Estratta l-sinjal negattiv fi y-x.

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

Annulla x\left(x-y\right) fin-numeratur u d-denominatur.

$$\frac{-x}{y}$$

Espandi

$$-\frac{x}{y}$$

Passi tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' x u y huwa xy. Immultiplika \frac{1}{x} b'\frac{y}{y}. Immultiplika \frac{1}{y} b'\frac{x}{x}.

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

Billi \frac{y}{xy} u \frac{x}{xy} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{x^{2}}{x-y}\times \frac{y-x}{xy}$$

Immultiplika \frac{x^{2}}{x-y} b'\frac{y-x}{xy} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

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

Estratta l-sinjal negattiv fi y-x.

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

Annulla x\left(x-y\right) fin-numeratur u d-denominatur.

$$\frac{-x}{y}$$