2/x(x-1)-5/x^2(x-1)+3/(x-1)(x+1) eching

$$\frac { 2 } { x ( x - 1 ) } - \frac { 5 } { x ^ { 2 } ( x - 1 ) } + \frac { 3 } { ( x - 1 ) ( x + 1 ) }$$

Baholash

$$\frac{5x^{2}-3x-5}{x^{2}\left(x^{2}-1\right)}$$

Qisqa yechim qadamlari

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

$$\frac{2x}{\left(x-1\right)x^{2}}-\frac{5}{\left(x-1\right)x^{2}}+\frac{3}{\left(x-1\right)\left(x+1\right)}$$

\frac{2x}{\left(x-1\right)x^{2}} va \frac{5}{\left(x-1\right)x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2x-5}{\left(x-1\right)x^{2}}+\frac{3}{\left(x-1\right)\left(x+1\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x-1\right)x^{2} va \left(x-1\right)\left(x+1\right) ning eng kichik umumiy karralisi \left(x-1\right)\left(x+1\right)x^{2}. \frac{2x-5}{\left(x-1\right)x^{2}} ni \frac{x+1}{x+1} marotabaga ko'paytirish. \frac{3}{\left(x-1\right)\left(x+1\right)} ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.

$$\frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}}+\frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

\frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}} va \frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(2x-5\right)\left(x+1\right)+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

\left(2x-5\right)\left(x+1\right)+3x^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{2x^{2}+2x-5x-5+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

2x^{2}+2x-5x-5+3x^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{5x^{2}-3x-5}{\left(x-1\right)\left(x+1\right)x^{2}}$$

\left(x-1\right)\left(x+1\right)x^{2} ni kengaytirish.

$$\frac{5x^{2}-3x-5}{x^{4}-x^{2}}$$

Kengaytirish

$$\frac{5x^{2}-3x-5}{x^{2}\left(x^{2}-1\right)}$$

Qisqa yechim qadamlari

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

$$\frac{2x}{\left(x-1\right)x^{2}}-\frac{5}{\left(x-1\right)x^{2}}+\frac{3}{\left(x-1\right)\left(x+1\right)}$$

\frac{2x}{\left(x-1\right)x^{2}} va \frac{5}{\left(x-1\right)x^{2}} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2x-5}{\left(x-1\right)x^{2}}+\frac{3}{\left(x-1\right)\left(x+1\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x-1\right)x^{2} va \left(x-1\right)\left(x+1\right) ning eng kichik umumiy karralisi \left(x-1\right)\left(x+1\right)x^{2}. \frac{2x-5}{\left(x-1\right)x^{2}} ni \frac{x+1}{x+1} marotabaga ko'paytirish. \frac{3}{\left(x-1\right)\left(x+1\right)} ni \frac{x^{2}}{x^{2}} marotabaga ko'paytirish.

$$\frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}}+\frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

\frac{\left(2x-5\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)x^{2}} va \frac{3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(2x-5\right)\left(x+1\right)+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

\left(2x-5\right)\left(x+1\right)+3x^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{2x^{2}+2x-5x-5+3x^{2}}{\left(x-1\right)\left(x+1\right)x^{2}}$$

2x^{2}+2x-5x-5+3x^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{5x^{2}-3x-5}{\left(x-1\right)\left(x+1\right)x^{2}}$$

\left(x-1\right)\left(x+1\right)x^{2} ni kengaytirish.

$$\frac{5x^{2}-3x-5}{x^{4}-x^{2}}$$