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

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

Baholash

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

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{2x^{2}}{2x^{2}} marotabaga ko'paytirish.

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

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

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

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

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

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

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

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

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

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

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

4x-2x^{2}+x+3 kabi iboralarga o‘xshab birlashtiring.

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

\frac{2x^{2}-x-1}{2x^{2}} ni \frac{5x-2x^{2}+3}{2x} ga bo'lish \frac{2x^{2}-x-1}{2x^{2}} ga k'paytirish \frac{5x-2x^{2}+3}{2x} ga qaytarish.

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

Surat va maxrajdagi ikkala 2x ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala 2x+1 ni qisqartiring.

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

Ifodani kengaytiring.

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

Kengaytirish

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

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{2x^{2}}{2x^{2}} marotabaga ko'paytirish.

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

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

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

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

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

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

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

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

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

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

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

4x-2x^{2}+x+3 kabi iboralarga o‘xshab birlashtiring.

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

\frac{2x^{2}-x-1}{2x^{2}} ni \frac{5x-2x^{2}+3}{2x} ga bo'lish \frac{2x^{2}-x-1}{2x^{2}} ga k'paytirish \frac{5x-2x^{2}+3}{2x} ga qaytarish.

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

Surat va maxrajdagi ikkala 2x ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala 2x+1 ni qisqartiring.

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

Ifodani kengaytiring.

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