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

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

Baholash

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

Qisqa yechim qadamlari

Faktor: 2x^{2}-x-3. Faktor: 2x^{2}+x-1.

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

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

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

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

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

2x-1-\left(2x-3\right) ichidagi ko‘paytirishlarni bajaring.

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

2x-1-2x+3 kabi iboralarga o‘xshab birlashtiring.

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

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

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

x ga nisbatan hosilani topish

$$-\frac{2\left(\left(6x-2\right)^{2}-19\right)}{3\left(\left(2x-3\right)\left(2x-1\right)\left(x+1\right)\right)^{2}}$$