Issolvi x^2/y^2-1/frac{x^2{y^2}-2x/y+1}

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

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 1 b'\frac{y^{2}}{y^{2}}.

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

Billi \frac{x^{2}}{y^{2}} u \frac{y^{2}}{y^{2}} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' y^{2} u y huwa y^{2}. Immultiplika \frac{2x}{y} b'\frac{y}{y}.

$$\frac{\frac{x^{2}-y^{2}}{y^{2}}}{\frac{x^{2}}{y^{2}}-\frac{2xy}{y^{2}}+1}$$

Billi \frac{x^{2}}{y^{2}} u \frac{2xy}{y^{2}} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{x^{2}-y^{2}}{y^{2}}}{\frac{x^{2}-2xy}{y^{2}}+1}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 1 b'\frac{y^{2}}{y^{2}}.

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

Billi \frac{x^{2}-2xy}{y^{2}} u \frac{y^{2}}{y^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Iddividi \frac{x^{2}-y^{2}}{y^{2}} b'\frac{x^{2}-2xy+y^{2}}{y^{2}} billi timmultiplika \frac{x^{2}-y^{2}}{y^{2}} bir-reċiproku ta' \frac{x^{2}-2xy+y^{2}}{y^{2}}.

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

Annulla y^{2} fin-numeratur u d-denominatur.

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

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

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

Annulla x-y fin-numeratur u d-denominatur.

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

Espandi

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

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 1 b'\frac{y^{2}}{y^{2}}.

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

Billi \frac{x^{2}}{y^{2}} u \frac{y^{2}}{y^{2}} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. L-inqas multiplu komuni ta' y^{2} u y huwa y^{2}. Immultiplika \frac{2x}{y} b'\frac{y}{y}.

$$\frac{\frac{x^{2}-y^{2}}{y^{2}}}{\frac{x^{2}}{y^{2}}-\frac{2xy}{y^{2}}+1}$$

Billi \frac{x^{2}}{y^{2}} u \frac{2xy}{y^{2}} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{\frac{x^{2}-y^{2}}{y^{2}}}{\frac{x^{2}-2xy}{y^{2}}+1}$$

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 1 b'\frac{y^{2}}{y^{2}}.

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

Billi \frac{x^{2}-2xy}{y^{2}} u \frac{y^{2}}{y^{2}} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Iddividi \frac{x^{2}-y^{2}}{y^{2}} b'\frac{x^{2}-2xy+y^{2}}{y^{2}} billi timmultiplika \frac{x^{2}-y^{2}}{y^{2}} bir-reċiproku ta' \frac{x^{2}-2xy+y^{2}}{y^{2}}.

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

Annulla y^{2} fin-numeratur u d-denominatur.

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

Iffattura l-espressjonijiet li mhumiex diġà fatturati.

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

Annulla x-y fin-numeratur u d-denominatur.

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