(3x-4/x)(9x^2-12-16/x^2) eching

$$( 3 x - \frac { 4 } { x } ) ( 9 x ^ { 2 } - 12 - \frac { 16 } { x ^ { 2 } } )$$

Baholash

$$27x^{3}-72x+\frac{64}{x^{3}}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3x ni \frac{x}{x} marotabaga ko'paytirish.

$$\left(\frac{3xx}{x}-\frac{4}{x}\right)\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

\frac{3xx}{x} va \frac{4}{x} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3xx-4}{x}\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

3xx-4 ichidagi ko‘paytirishlarni bajaring.

$$\frac{3x^{2}-4}{x}\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 9x^{2}-12 ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.

$$\frac{3x^{2}-4}{x}\left(\frac{\left(9x^{2}-12\right)x^{2}}{x^{2}}-\frac{16}{x^{2}}\right)$$

\frac{\left(9x^{2}-12\right)x^{2}}{x^{2}} va \frac{16}{x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3x^{2}-4}{x}\times \frac{\left(9x^{2}-12\right)x^{2}-16}{x^{2}}$$

\left(9x^{2}-12\right)x^{2}-16 ichidagi ko‘paytirishlarni bajaring.

$$\frac{3x^{2}-4}{x}\times \frac{9x^{4}-12x^{2}-16}{x^{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3x^{2}-4}{x} ni \frac{9x^{4}-12x^{2}-16}{x^{2}} ga ko‘paytiring.

$$\frac{\left(3x^{2}-4\right)\left(9x^{4}-12x^{2}-16\right)}{xx^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

$$\frac{\left(3x^{2}-4\right)\left(9x^{4}-12x^{2}-16\right)}{x^{3}}$$

3x^{2}-4 ga 9x^{4}-12x^{2}-16 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{27x^{6}-72x^{4}+64}{x^{3}}$$

Kengaytirish

$$27x^{3}-72x+\frac{64}{x^{3}}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3x ni \frac{x}{x} marotabaga ko'paytirish.

$$\left(\frac{3xx}{x}-\frac{4}{x}\right)\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

\frac{3xx}{x} va \frac{4}{x} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3xx-4}{x}\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

3xx-4 ichidagi ko‘paytirishlarni bajaring.

$$\frac{3x^{2}-4}{x}\left(9x^{2}-12-\frac{16}{x^{2}}\right)$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 9x^{2}-12 ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.

$$\frac{3x^{2}-4}{x}\left(\frac{\left(9x^{2}-12\right)x^{2}}{x^{2}}-\frac{16}{x^{2}}\right)$$

\frac{\left(9x^{2}-12\right)x^{2}}{x^{2}} va \frac{16}{x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3x^{2}-4}{x}\times \frac{\left(9x^{2}-12\right)x^{2}-16}{x^{2}}$$

\left(9x^{2}-12\right)x^{2}-16 ichidagi ko‘paytirishlarni bajaring.

$$\frac{3x^{2}-4}{x}\times \frac{9x^{4}-12x^{2}-16}{x^{2}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{3x^{2}-4}{x} ni \frac{9x^{4}-12x^{2}-16}{x^{2}} ga ko‘paytiring.

$$\frac{\left(3x^{2}-4\right)\left(9x^{4}-12x^{2}-16\right)}{xx^{2}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 2 ni qo‘shib, 3 ni oling.

$$\frac{\left(3x^{2}-4\right)\left(9x^{4}-12x^{2}-16\right)}{x^{3}}$$

3x^{2}-4 ga 9x^{4}-12x^{2}-16 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{27x^{6}-72x^{4}+64}{x^{3}}$$