9-6t+t^2/9-t^2*t^2-5t+6/3t^2-9t eching

$$\frac { 9 - 6 t + t ^ { 2 } } { 9 - t ^ { 2 } } \cdot \frac { t ^ { 2 } - 5 t + 6 } { 3 t ^ { 2 } - 9 t }$$

Baholash

$$-\frac{\left(t-3\right)\left(t-2\right)}{3t\left(t+3\right)}$$

Qisqa yechim qadamlari

\frac{9-6t+t^{2}}{9-t^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(t-3\right)^{2}}{\left(t-3\right)\left(-t-3\right)}\times \frac{t^{2}-5t+6}{3t^{2}-9t}$$

Surat va maxrajdagi ikkala t-3 ni qisqartiring.

$$\frac{t-3}{-t-3}\times \frac{t^{2}-5t+6}{3t^{2}-9t}$$

\frac{t^{2}-5t+6}{3t^{2}-9t} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{t-3}{-t-3}\times \frac{\left(t-3\right)\left(t-2\right)}{3t\left(t-3\right)}$$

Surat va maxrajdagi ikkala t-3 ni qisqartiring.

$$\frac{t-3}{-t-3}\times \frac{t-2}{3t}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{t-3}{-t-3} ni \frac{t-2}{3t} ga ko‘paytiring.

$$\frac{\left(t-3\right)\left(t-2\right)}{\left(-t-3\right)\times 3t}$$

t-3 ga t-2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{t^{2}-5t+6}{\left(-t-3\right)\times 3t}$$

-t-3 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{t^{2}-5t+6}{\left(-3t-9\right)t}$$

-3t-9 ga t ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{t^{2}-5t+6}{-3t^{2}-9t}$$

Kengaytirish

$$-\frac{t^{2}-5t+6}{3t\left(t+3\right)}$$

Qisqa yechim qadamlari

\frac{9-6t+t^{2}}{9-t^{2}} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(t-3\right)^{2}}{\left(t-3\right)\left(-t-3\right)}\times \frac{t^{2}-5t+6}{3t^{2}-9t}$$

Surat va maxrajdagi ikkala t-3 ni qisqartiring.

$$\frac{t-3}{-t-3}\times \frac{t^{2}-5t+6}{3t^{2}-9t}$$

\frac{t^{2}-5t+6}{3t^{2}-9t} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{t-3}{-t-3}\times \frac{\left(t-3\right)\left(t-2\right)}{3t\left(t-3\right)}$$

Surat va maxrajdagi ikkala t-3 ni qisqartiring.

$$\frac{t-3}{-t-3}\times \frac{t-2}{3t}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{t-3}{-t-3} ni \frac{t-2}{3t} ga ko‘paytiring.

$$\frac{\left(t-3\right)\left(t-2\right)}{\left(-t-3\right)\times 3t}$$

t-3 ga t-2 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{t^{2}-5t+6}{\left(-t-3\right)\times 3t}$$

-t-3 ga 3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{t^{2}-5t+6}{\left(-3t-9\right)t}$$

-3t-9 ga t ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{t^{2}-5t+6}{-3t^{2}-9t}$$