f(x)=3x^3-1/x^3+4x^-4 eching

$$f ( x ) = 3 x ^ { 3 } - \frac { 1 } { x ^ { 3 } } + 4 x ^ { - 4 }$$

Baholash

$$\frac{3x^{7}-x+4}{x^{4}}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3x^{3}+4x^{-4} ni \frac{x^{3}}{x^{3}} marotabaga ko'paytirish.

$$\frac{\left(3x^{3}+4x^{-4}\right)x^{3}}{x^{3}}-\frac{1}{x^{3}}$$

\frac{\left(3x^{3}+4x^{-4}\right)x^{3}}{x^{3}} va \frac{1}{x^{3}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\left(3x^{3}+4x^{-4}\right)x^{3}-1}{x^{3}}$$

\left(3x^{3}+4x^{-4}\right)x^{3}-1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{3x^{6}+4\times \frac{1}{x}-1}{x^{3}}$$

4\times \frac{1}{x} ni yagona kasrga aylantiring.

$$\frac{3x^{6}+\frac{4}{x}-1}{x^{3}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3x^{6}-1 ni \frac{x}{x} marotabaga ko'paytirish.

$$\frac{\frac{\left(3x^{6}-1\right)x}{x}+\frac{4}{x}}{x^{3}}$$

\frac{\left(3x^{6}-1\right)x}{x} va \frac{4}{x} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{\left(3x^{6}-1\right)x+4}{x}}{x^{3}}$$

\left(3x^{6}-1\right)x+4 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{3x^{7}-x+4}{x}}{x^{3}}$$

\frac{\frac{3x^{7}-x+4}{x}}{x^{3}} ni yagona kasrga aylantiring.

$$\frac{3x^{7}-x+4}{xx^{3}}$$

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 1 va 3 ni qo‘shib, 4 ni oling.

$$\frac{3x^{7}-x+4}{x^{4}}$$

Omil

$$\frac{3x^{7}-x+4}{x^{4}}$$