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

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

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

Iffattura y^{2}-1.

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

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

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

Billi \frac{-2y}{\left(y-1\right)\left(y+1\right)} u \frac{y-1}{\left(y-1\right)\left(y+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi -2y-\left(y-1\right).

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

Ikkombina termini simili f'-2y-y+1.

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

Iddividi \frac{-3y+1}{\left(y-1\right)\left(y+1\right)} b'\frac{y}{y-1} billi timmultiplika \frac{-3y+1}{\left(y-1\right)\left(y+1\right)} bir-reċiproku ta' \frac{y}{y-1}.

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

Annulla y-1 fin-numeratur u d-denominatur.

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

Uża l-propjetà distributtiva biex timmultiplika y b'y+1.

$$\frac{-3y+1}{y^{2}+y}$$

Espandi

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

Passi Qosra tas-Soluzzjonijiet

Iffattura y^{2}-1.

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

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

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

Billi \frac{-2y}{\left(y-1\right)\left(y+1\right)} u \frac{y-1}{\left(y-1\right)\left(y+1\right)} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi -2y-\left(y-1\right).

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

Ikkombina termini simili f'-2y-y+1.

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

Iddividi \frac{-3y+1}{\left(y-1\right)\left(y+1\right)} b'\frac{y}{y-1} billi timmultiplika \frac{-3y+1}{\left(y-1\right)\left(y+1\right)} bir-reċiproku ta' \frac{y}{y-1}.

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

Annulla y-1 fin-numeratur u d-denominatur.

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

Uża l-propjetà distributtiva biex timmultiplika y b'y+1.

$$\frac{-3y+1}{y^{2}+y}$$