x^2/y-1*x^2-2x+1/x^2-x*(y-1)-x(1-y)/x^3-x eching

$$\frac { x ^ { 2 } } { y - 1 } \times \frac { x ^ { 2 } - 2 x + 1 } { x ^ { 2 } - x } \times \frac { ( y - 1 ) - x ( 1 - y ) } { x ^ { 3 } - x }$$

Baholash

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Qisqa yechim qadamlari

\frac{x^{2}-2x+1}{x^{2}-x} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{x^{2}}{y-1}\times \frac{\left(x-1\right)^{2}}{x\left(x-1\right)}\times \frac{y-1-x\left(1-y\right)}{x^{3}-x}$$

Surat va maxrajdagi ikkala x-1 ni qisqartiring.

$$\frac{x^{2}}{y-1}\times \frac{x-1}{x}\times \frac{y-1-x\left(1-y\right)}{x^{3}-x}$$

\frac{y-1-x\left(1-y\right)}{x^{3}-x} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x+1 ni qisqartiring.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x^{2}}{y-1} ni \frac{x-1}{x} ga ko‘paytiring.

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

Surat va maxrajdagi ikkala x ni qisqartiring.

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x\left(x-1\right)}{y-1} ni \frac{y-1}{x\left(x-1\right)} ga ko‘paytiring.

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

Surat va maxrajdagi ikkala x\left(x-1\right)\left(y-1\right) ni qisqartiring.

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Omil

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