x/2x^2-7x+3+x-3/4x^2+4x-3-x^2+1/2x^2-3x eching

$$\frac { x } { 2 x ^ { 2 } - 7 x + 3 } + \frac { x - 3 } { 4 x ^ { 2 } + 4 x - 3 } - \frac { x ^ { 2 } + 1 } { 2 x ^ { 2 } - 3 x }$$

Baholash

$$\frac{-4x^{5}+14x^{4}-4x^{3}+26x^{2}-12x-9}{x\left(x-3\right)\left(2x-1\right)\left(4x^{2}-9\right)}$$

Qisqa yechim qadamlari

Faktor: 2x^{2}-7x+3. Faktor: 4x^{2}+4x-3.

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

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

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

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

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

x\left(2x+3\right)+\left(x-3\right)\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{2x^{2}+3x+x^{2}-3x-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}$$

2x^{2}+3x+x^{2}-3x-3x+9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}$$

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

$$\frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{x\left(2x-3\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x-3\right)\left(2x-1\right)\left(2x+3\right) va x\left(2x-3\right) ning eng kichik umumiy karralisi x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right). \frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)} ni \frac{x\left(2x-3\right)}{x\left(2x-3\right)} marotabaga ko'paytirish. \frac{x^{2}+1}{x\left(2x-3\right)} ni \frac{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)} marotabaga ko'paytirish.

$$\frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}$$

\frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)} va \frac{\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)-\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}$$

\left(3x^{2}-3x+9\right)x\left(2x-3\right)-\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{6x^{4}-9x^{3}-6x^{3}+9x^{2}+18x^{2}-27x-4x^{5}+8x^{4}+15x^{3}-9x^{2}-4x^{3}+8x^{2}+15x-9}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}$$

6x^{4}-9x^{3}-6x^{3}+9x^{2}+18x^{2}-27x-4x^{5}+8x^{4}+15x^{3}-9x^{2}-4x^{3}+8x^{2}+15x-9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{14x^{4}-4x^{3}+26x^{2}-12x-4x^{5}-9}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}$$

x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right) ni kengaytirish.

$$\frac{14x^{4}-4x^{3}+26x^{2}-12x-4x^{5}-9}{8x^{5}-28x^{4}-6x^{3}+63x^{2}-27x}$$

Kengaytirish

$$\frac{-4x^{5}+14x^{4}-4x^{3}+26x^{2}-12x-9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)\left(2x^{2}-3x\right)}$$

Qisqa yechim qadamlari

Faktor: 2x^{2}-7x+3. Faktor: 4x^{2}+4x-3.

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

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

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

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

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

x\left(2x+3\right)+\left(x-3\right)\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{2x^{2}+3x+x^{2}-3x-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}$$

2x^{2}+3x+x^{2}-3x-3x+9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{2x^{2}-3x}$$

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

$$\frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{x^{2}+1}{x\left(2x-3\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(x-3\right)\left(2x-1\right)\left(2x+3\right) va x\left(2x-3\right) ning eng kichik umumiy karralisi x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right). \frac{3x^{2}-3x+9}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)} ni \frac{x\left(2x-3\right)}{x\left(2x-3\right)} marotabaga ko'paytirish. \frac{x^{2}+1}{x\left(2x-3\right)} ni \frac{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{\left(x-3\right)\left(2x-1\right)\left(2x+3\right)} marotabaga ko'paytirish.

$$\frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}-\frac{\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}$$

\frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)} va \frac{\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\left(3x^{2}-3x+9\right)x\left(2x-3\right)-\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right)}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}$$

\left(3x^{2}-3x+9\right)x\left(2x-3\right)-\left(x^{2}+1\right)\left(x-3\right)\left(2x-1\right)\left(2x+3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{6x^{4}-9x^{3}-6x^{3}+9x^{2}+18x^{2}-27x-4x^{5}+8x^{4}+15x^{3}-9x^{2}-4x^{3}+8x^{2}+15x-9}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}$$

6x^{4}-9x^{3}-6x^{3}+9x^{2}+18x^{2}-27x-4x^{5}+8x^{4}+15x^{3}-9x^{2}-4x^{3}+8x^{2}+15x-9 kabi iboralarga o‘xshab birlashtiring.

$$\frac{14x^{4}-4x^{3}+26x^{2}-12x-4x^{5}-9}{x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right)}$$

x\left(x-3\right)\left(2x-3\right)\left(2x-1\right)\left(2x+3\right) ni kengaytirish.

$$\frac{14x^{4}-4x^{3}+26x^{2}-12x-4x^{5}-9}{8x^{5}-28x^{4}-6x^{3}+63x^{2}-27x}$$