Issolvi xleft(y-1right)+yleft(1-xright)/left(x-1right)left(1-yright)-1/x-1-1/1-y

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

Evalwa

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

Passi Qosra tas-Soluzzjonijiet

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

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

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

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

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

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

Ikkombina termini simili f'xy-x+y-yx+y-1.

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

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

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

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

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

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

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

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

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

Espandi \left(x-1\right)\left(-y+1\right).

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

Espandi

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

Passi Qosra tas-Soluzzjonijiet

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

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

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

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

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

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

Ikkombina termini simili f'xy-x+y-yx+y-1.

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

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

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

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

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

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

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

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

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

Espandi \left(x-1\right)\left(-y+1\right).

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