y/9-9/y/frac{9{y^2}-1/9} eching

$$\frac { \frac { y } { 9 } - \frac { 9 } { y } } { \frac { 9 } { y ^ { 2 } } - \frac { 1 } { 9 } }$$

Baholash

$$-y$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 9 va y ning eng kichik umumiy karralisi 9y. \frac{y}{9} ni \frac{y}{y} marotabaga ko'paytirish. \frac{9}{y} ni \frac{9}{9} marotabaga ko'paytirish.

$$\frac{\frac{yy}{9y}-\frac{9\times 9}{9y}}{\frac{9}{y^{2}}-\frac{1}{9}}$$

\frac{yy}{9y} va \frac{9\times 9}{9y} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{yy-9\times 9}{9y}}{\frac{9}{y^{2}}-\frac{1}{9}}$$

yy-9\times 9 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{y^{2}-81}{9y}}{\frac{9}{y^{2}}-\frac{1}{9}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. y^{2} va 9 ning eng kichik umumiy karralisi 9y^{2}. \frac{9}{y^{2}} ni \frac{9}{9} marotabaga ko'paytirish. \frac{1}{9} ni \frac{y^{2}}{y^{2}} marotabaga ko'paytirish.

$$\frac{\frac{y^{2}-81}{9y}}{\frac{9\times 9}{9y^{2}}-\frac{y^{2}}{9y^{2}}}$$

\frac{9\times 9}{9y^{2}} va \frac{y^{2}}{9y^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{y^{2}-81}{9y}}{\frac{9\times 9-y^{2}}{9y^{2}}}$$

9\times 9-y^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{y^{2}-81}{9y}}{\frac{81-y^{2}}{9y^{2}}}$$

\frac{y^{2}-81}{9y} ni \frac{81-y^{2}}{9y^{2}} ga bo'lish \frac{y^{2}-81}{9y} ga k'paytirish \frac{81-y^{2}}{9y^{2}} ga qaytarish.

$$\frac{\left(y^{2}-81\right)\times 9y^{2}}{9y\left(81-y^{2}\right)}$$

y^{2}-81 mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-9y^{2}\left(-y^{2}+81\right)}{9y\left(-y^{2}+81\right)}$$

Surat va maxrajdagi ikkala 9y\left(-y^{2}+81\right) ni qisqartiring.

$$-y$$

Kengaytirish

$$-y$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 9 va y ning eng kichik umumiy karralisi 9y. \frac{y}{9} ni \frac{y}{y} marotabaga ko'paytirish. \frac{9}{y} ni \frac{9}{9} marotabaga ko'paytirish.

$$\frac{\frac{yy}{9y}-\frac{9\times 9}{9y}}{\frac{9}{y^{2}}-\frac{1}{9}}$$

\frac{yy}{9y} va \frac{9\times 9}{9y} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{yy-9\times 9}{9y}}{\frac{9}{y^{2}}-\frac{1}{9}}$$

yy-9\times 9 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{y^{2}-81}{9y}}{\frac{9}{y^{2}}-\frac{1}{9}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. y^{2} va 9 ning eng kichik umumiy karralisi 9y^{2}. \frac{9}{y^{2}} ni \frac{9}{9} marotabaga ko'paytirish. \frac{1}{9} ni \frac{y^{2}}{y^{2}} marotabaga ko'paytirish.

$$\frac{\frac{y^{2}-81}{9y}}{\frac{9\times 9}{9y^{2}}-\frac{y^{2}}{9y^{2}}}$$

\frac{9\times 9}{9y^{2}} va \frac{y^{2}}{9y^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{y^{2}-81}{9y}}{\frac{9\times 9-y^{2}}{9y^{2}}}$$

9\times 9-y^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{y^{2}-81}{9y}}{\frac{81-y^{2}}{9y^{2}}}$$

\frac{y^{2}-81}{9y} ni \frac{81-y^{2}}{9y^{2}} ga bo'lish \frac{y^{2}-81}{9y} ga k'paytirish \frac{81-y^{2}}{9y^{2}} ga qaytarish.

$$\frac{\left(y^{2}-81\right)\times 9y^{2}}{9y\left(81-y^{2}\right)}$$

y^{2}-81 mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-9y^{2}\left(-y^{2}+81\right)}{9y\left(-y^{2}+81\right)}$$

Surat va maxrajdagi ikkala 9y\left(-y^{2}+81\right) ni qisqartiring.

$$-y$$