(n+2/n-2)^3/frac{n^3+4n^2+4n{3n^2-12n+12}}*n/3 eching

$$\frac { ( \frac { n + 2 } { n - 2 } ) ^ { 3 } } { \frac { n ^ { 3 } + 4 n ^ { 2 } + 4 n } { 3 n ^ { 2 } - 12 n + 12 } } \cdot \frac { n } { 3 }$$

Baholash

$$\frac{n+2}{n-2}$$

Qisqa yechim qadamlari

\frac{n+2}{n-2}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\frac{\left(n+2\right)^{3}}{\left(n-2\right)^{3}}}{\frac{n^{3}+4n^{2}+4n}{3n^{2}-12n+12}}\times \frac{n}{3}$$

\frac{\left(n+2\right)^{3}}{\left(n-2\right)^{3}} ni \frac{n^{3}+4n^{2}+4n}{3n^{2}-12n+12} ga bo'lish \frac{\left(n+2\right)^{3}}{\left(n-2\right)^{3}} ga k'paytirish \frac{n^{3}+4n^{2}+4n}{3n^{2}-12n+12} ga qaytarish.

$$\frac{\left(n+2\right)^{3}\left(3n^{2}-12n+12\right)}{\left(n-2\right)^{3}\left(n^{3}+4n^{2}+4n\right)}\times \frac{n}{3}$$

\frac{\left(n+2\right)^{3}\left(3n^{2}-12n+12\right)}{\left(n-2\right)^{3}\left(n^{3}+4n^{2}+4n\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

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

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

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

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

Surat va maxrajdagi ikkala 3n ni qisqartiring.

$$\frac{n+2}{n-2}$$

Kengaytirish

$$\frac{n+2}{n-2}$$

Qisqa yechim qadamlari

\frac{n+2}{n-2}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\frac{\left(n+2\right)^{3}}{\left(n-2\right)^{3}}}{\frac{n^{3}+4n^{2}+4n}{3n^{2}-12n+12}}\times \frac{n}{3}$$

\frac{\left(n+2\right)^{3}}{\left(n-2\right)^{3}} ni \frac{n^{3}+4n^{2}+4n}{3n^{2}-12n+12} ga bo'lish \frac{\left(n+2\right)^{3}}{\left(n-2\right)^{3}} ga k'paytirish \frac{n^{3}+4n^{2}+4n}{3n^{2}-12n+12} ga qaytarish.

$$\frac{\left(n+2\right)^{3}\left(3n^{2}-12n+12\right)}{\left(n-2\right)^{3}\left(n^{3}+4n^{2}+4n\right)}\times \frac{n}{3}$$

\frac{\left(n+2\right)^{3}\left(3n^{2}-12n+12\right)}{\left(n-2\right)^{3}\left(n^{3}+4n^{2}+4n\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

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

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

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

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

Surat va maxrajdagi ikkala 3n ni qisqartiring.

$$\frac{n+2}{n-2}$$