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

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

វាយតម្លៃ

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

ជំហានចម្លើយខ្លីៗ

ដើម្បីបូក ឬដក​កន្សោម ពន្លាតពួកវាដើម្បីធ្វើឲ្យភាគបែងរបស់ពួកវាដូចគ្នា។ ពហុគុណរួមតូចបំផុតនៃ \left(x-1\right)\left(1-y\right) និង \left(x-1\right)\left(y-1\right) គឺ \left(x-1\right)\left(y-1\right)។ គុណ \frac{x\left(y-1\right)+y\left(1-x\right)}{\left(x-1\right)\left(1-y\right)} ដង \frac{-1}{-1}។

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

ដោយសារ \frac{-\left(x\left(y-1\right)+y\left(1-x\right)\right)}{\left(x-1\right)\left(y-1\right)} និង \frac{y-x}{\left(x-1\right)\left(y-1\right)} មានភាគបែងដូចគ្នា សូមដកពួកវាដោយការដកភាគយករបស់ពួកវា។

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

ធ្វើផល​គុណនៅក្នុង -\left(x\left(y-1\right)+y\left(1-x\right)\right)-\left(y-x\right)។

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

បន្សំដូចជាតួនៅក្នុង -yx+x-y+yx-y+x។

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

ពន្លាត \left(x-1\right)\left(y-1\right)។

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

ពន្លាត

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

ជំហានចម្លើយខ្លីៗ

ដើម្បីបូក ឬដក​កន្សោម ពន្លាតពួកវាដើម្បីធ្វើឲ្យភាគបែងរបស់ពួកវាដូចគ្នា។ ពហុគុណរួមតូចបំផុតនៃ \left(x-1\right)\left(1-y\right) និង \left(x-1\right)\left(y-1\right) គឺ \left(x-1\right)\left(y-1\right)។ គុណ \frac{x\left(y-1\right)+y\left(1-x\right)}{\left(x-1\right)\left(1-y\right)} ដង \frac{-1}{-1}។

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

ដោយសារ \frac{-\left(x\left(y-1\right)+y\left(1-x\right)\right)}{\left(x-1\right)\left(y-1\right)} និង \frac{y-x}{\left(x-1\right)\left(y-1\right)} មានភាគបែងដូចគ្នា សូមដកពួកវាដោយការដកភាគយករបស់ពួកវា។

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

ធ្វើផល​គុណនៅក្នុង -\left(x\left(y-1\right)+y\left(1-x\right)\right)-\left(y-x\right)។

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

បន្សំដូចជាតួនៅក្នុង -yx+x-y+yx-y+x។

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

ពន្លាត \left(x-1\right)\left(y-1\right)។

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