3-2x/x^3/frac{2{x^2}-1/x^3+x^2} eching

$$\frac { \frac { 3 - 2 x } { x ^ { 3 } } } { \frac { 2 } { x ^ { 2 } } - \frac { 1 } { x ^ { 3 } + x ^ { 2 } } }$$

Baholash

$$\frac{\left(3-2x\right)\left(x+1\right)}{x\left(2x+1\right)}$$

Qisqa yechim qadamlari

Faktor: x^{3}+x^{2}.

$$\frac{\frac{3-2x}{x^{3}}}{\frac{2}{x^{2}}-\frac{1}{\left(x+1\right)x^{2}}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2} va \left(x+1\right)x^{2} ning eng kichik umumiy karralisi \left(x+1\right)x^{2}. \frac{2}{x^{2}} ni \frac{x+1}{x+1} marotabaga ko'paytirish.

$$\frac{\frac{3-2x}{x^{3}}}{\frac{2\left(x+1\right)}{\left(x+1\right)x^{2}}-\frac{1}{\left(x+1\right)x^{2}}}$$

\frac{2\left(x+1\right)}{\left(x+1\right)x^{2}} va \frac{1}{\left(x+1\right)x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3-2x}{x^{3}}}{\frac{2\left(x+1\right)-1}{\left(x+1\right)x^{2}}}$$

2\left(x+1\right)-1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{3-2x}{x^{3}}}{\frac{2x+2-1}{\left(x+1\right)x^{2}}}$$

2x+2-1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{3-2x}{x^{3}}}{\frac{2x+1}{\left(x+1\right)x^{2}}}$$

\frac{3-2x}{x^{3}} ni \frac{2x+1}{\left(x+1\right)x^{2}} ga bo'lish \frac{3-2x}{x^{3}} ga k'paytirish \frac{2x+1}{\left(x+1\right)x^{2}} ga qaytarish.

$$\frac{\left(3-2x\right)\left(x+1\right)x^{2}}{x^{3}\left(2x+1\right)}$$

Surat va maxrajdagi ikkala x^{2} ni qisqartiring.

$$\frac{\left(x+1\right)\left(-2x+3\right)}{x\left(2x+1\right)}$$

x+1 ga -2x+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{-2x^{2}+x+3}{x\left(2x+1\right)}$$

x ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{-2x^{2}+x+3}{2x^{2}+x}$$

Kengaytirish

$$\frac{3+x-2x^{2}}{x\left(2x+1\right)}$$

Qisqa yechim qadamlari

Faktor: x^{3}+x^{2}.

$$\frac{\frac{3-2x}{x^{3}}}{\frac{2}{x^{2}}-\frac{1}{\left(x+1\right)x^{2}}}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. x^{2} va \left(x+1\right)x^{2} ning eng kichik umumiy karralisi \left(x+1\right)x^{2}. \frac{2}{x^{2}} ni \frac{x+1}{x+1} marotabaga ko'paytirish.

$$\frac{\frac{3-2x}{x^{3}}}{\frac{2\left(x+1\right)}{\left(x+1\right)x^{2}}-\frac{1}{\left(x+1\right)x^{2}}}$$

\frac{2\left(x+1\right)}{\left(x+1\right)x^{2}} va \frac{1}{\left(x+1\right)x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3-2x}{x^{3}}}{\frac{2\left(x+1\right)-1}{\left(x+1\right)x^{2}}}$$

2\left(x+1\right)-1 ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{3-2x}{x^{3}}}{\frac{2x+2-1}{\left(x+1\right)x^{2}}}$$

2x+2-1 kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{3-2x}{x^{3}}}{\frac{2x+1}{\left(x+1\right)x^{2}}}$$

\frac{3-2x}{x^{3}} ni \frac{2x+1}{\left(x+1\right)x^{2}} ga bo'lish \frac{3-2x}{x^{3}} ga k'paytirish \frac{2x+1}{\left(x+1\right)x^{2}} ga qaytarish.

$$\frac{\left(3-2x\right)\left(x+1\right)x^{2}}{x^{3}\left(2x+1\right)}$$

Surat va maxrajdagi ikkala x^{2} ni qisqartiring.

$$\frac{\left(x+1\right)\left(-2x+3\right)}{x\left(2x+1\right)}$$

x+1 ga -2x+3 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{-2x^{2}+x+3}{x\left(2x+1\right)}$$

x ga 2x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{-2x^{2}+x+3}{2x^{2}+x}$$