Baholash
-\frac{2\left(y^{2}+1\right)}{3\left(y^{2}-1\right)}
Kengaytirish
-\frac{2\left(y^{2}+1\right)}{3\left(y^{2}-1\right)}
Baham ko'rish
Klipbordga nusxa olish
\left(\frac{x\left(y-1\right)}{\left(y-1\right)\left(y+1\right)}-\frac{x\left(y+1\right)}{\left(y-1\right)\left(y+1\right)}\right)\times \frac{x+xy^{2}}{3x^{2}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. y+1 va y-1 ning eng kichik umumiy karralisi \left(y-1\right)\left(y+1\right). \frac{x}{y+1} ni \frac{y-1}{y-1} marotabaga ko'paytirish. \frac{x}{y-1} ni \frac{y+1}{y+1} marotabaga ko'paytirish.
\frac{x\left(y-1\right)-x\left(y+1\right)}{\left(y-1\right)\left(y+1\right)}\times \frac{x+xy^{2}}{3x^{2}}
\frac{x\left(y-1\right)}{\left(y-1\right)\left(y+1\right)} va \frac{x\left(y+1\right)}{\left(y-1\right)\left(y+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{xy-x-xy-x}{\left(y-1\right)\left(y+1\right)}\times \frac{x+xy^{2}}{3x^{2}}
x\left(y-1\right)-x\left(y+1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-2x}{\left(y-1\right)\left(y+1\right)}\times \frac{x+xy^{2}}{3x^{2}}
xy-x-xy-x kabi iboralarga o‘xshab birlashtiring.
\frac{-2x}{\left(y-1\right)\left(y+1\right)}\times \frac{x\left(y^{2}+1\right)}{3x^{2}}
\frac{x+xy^{2}}{3x^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{-2x}{\left(y-1\right)\left(y+1\right)}\times \frac{y^{2}+1}{3x}
Surat va maxrajdagi ikkala x ni qisqartiring.
\frac{-2x\left(y^{2}+1\right)}{\left(y-1\right)\left(y+1\right)\times 3x}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{-2x}{\left(y-1\right)\left(y+1\right)} ni \frac{y^{2}+1}{3x} ga ko‘paytiring.
\frac{-2\left(y^{2}+1\right)}{3\left(y-1\right)\left(y+1\right)}
Surat va maxrajdagi ikkala x ni qisqartiring.
\frac{-2y^{2}-2}{3\left(y-1\right)\left(y+1\right)}
-2 ga y^{2}+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{-2y^{2}-2}{\left(3y-3\right)\left(y+1\right)}
3 ga y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{-2y^{2}-2}{3y^{2}-3}
3y-3 ga y+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
\left(\frac{x\left(y-1\right)}{\left(y-1\right)\left(y+1\right)}-\frac{x\left(y+1\right)}{\left(y-1\right)\left(y+1\right)}\right)\times \frac{x+xy^{2}}{3x^{2}}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. y+1 va y-1 ning eng kichik umumiy karralisi \left(y-1\right)\left(y+1\right). \frac{x}{y+1} ni \frac{y-1}{y-1} marotabaga ko'paytirish. \frac{x}{y-1} ni \frac{y+1}{y+1} marotabaga ko'paytirish.
\frac{x\left(y-1\right)-x\left(y+1\right)}{\left(y-1\right)\left(y+1\right)}\times \frac{x+xy^{2}}{3x^{2}}
\frac{x\left(y-1\right)}{\left(y-1\right)\left(y+1\right)} va \frac{x\left(y+1\right)}{\left(y-1\right)\left(y+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.
\frac{xy-x-xy-x}{\left(y-1\right)\left(y+1\right)}\times \frac{x+xy^{2}}{3x^{2}}
x\left(y-1\right)-x\left(y+1\right) ichidagi ko‘paytirishlarni bajaring.
\frac{-2x}{\left(y-1\right)\left(y+1\right)}\times \frac{x+xy^{2}}{3x^{2}}
xy-x-xy-x kabi iboralarga o‘xshab birlashtiring.
\frac{-2x}{\left(y-1\right)\left(y+1\right)}\times \frac{x\left(y^{2}+1\right)}{3x^{2}}
\frac{x+xy^{2}}{3x^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.
\frac{-2x}{\left(y-1\right)\left(y+1\right)}\times \frac{y^{2}+1}{3x}
Surat va maxrajdagi ikkala x ni qisqartiring.
\frac{-2x\left(y^{2}+1\right)}{\left(y-1\right)\left(y+1\right)\times 3x}
Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{-2x}{\left(y-1\right)\left(y+1\right)} ni \frac{y^{2}+1}{3x} ga ko‘paytiring.
\frac{-2\left(y^{2}+1\right)}{3\left(y-1\right)\left(y+1\right)}
Surat va maxrajdagi ikkala x ni qisqartiring.
\frac{-2y^{2}-2}{3\left(y-1\right)\left(y+1\right)}
-2 ga y^{2}+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{-2y^{2}-2}{\left(3y-3\right)\left(y+1\right)}
3 ga y-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{-2y^{2}-2}{3y^{2}-3}
3y-3 ga y+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.
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