1/frac{n^2-6n+9{n+3}}{n+3/2n^2-18} eching

$$\frac { 1 } { \frac { n ^ { 2 } - 6 n + 9 } { n + 3 } } { \frac { n + 3 } { 2 n ^ { 2 } - 18 } }$$

Baholash

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

Qisqa yechim qadamlari

1 ni \frac{n^{2}-6n+9}{n+3} ga bo'lish 1 ga k'paytirish \frac{n^{2}-6n+9}{n+3} ga qaytarish.

$$\frac{n+3}{n^{2}-6n+9}\times \frac{n+3}{2n^{2}-18}$$

\frac{n+3}{2n^{2}-18} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala n+3 ni qisqartiring.

$$\frac{n+3}{n^{2}-6n+9}\times \frac{1}{2\left(n-3\right)}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{n+3}{n^{2}-6n+9} ni \frac{1}{2\left(n-3\right)} ga ko‘paytiring.

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

n^{2}-6n+9 ga 2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{n+3}{\left(2n^{2}-12n+18\right)\left(n-3\right)}$$

2n^{2}-12n+18 ga n-3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{n+3}{2n^{3}-18n^{2}+54n-54}$$

Kengaytirish

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

Qisqa yechim qadamlari

1 ni \frac{n^{2}-6n+9}{n+3} ga bo'lish 1 ga k'paytirish \frac{n^{2}-6n+9}{n+3} ga qaytarish.

$$\frac{n+3}{n^{2}-6n+9}\times \frac{n+3}{2n^{2}-18}$$

\frac{n+3}{2n^{2}-18} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala n+3 ni qisqartiring.

$$\frac{n+3}{n^{2}-6n+9}\times \frac{1}{2\left(n-3\right)}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{n+3}{n^{2}-6n+9} ni \frac{1}{2\left(n-3\right)} ga ko‘paytiring.

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

n^{2}-6n+9 ga 2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{n+3}{\left(2n^{2}-12n+18\right)\left(n-3\right)}$$

2n^{2}-12n+18 ga n-3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{n+3}{2n^{3}-18n^{2}+54n-54}$$