x^2+8/(x+2)(x-2)+x/x+2-2x/x-2= eching

$$\frac { x ^ { 2 } + 8 } { ( x + 2 ) ( x - 2 ) } + \frac { x } { x + 2 } - \frac { 2 x } { x - 2 } =$$

Baholash

$$\frac{2\left(4-3x\right)}{x^{2}-4}$$

Qisqa yechim qadamlari

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

$$\frac{x^{2}+8}{\left(x-2\right)\left(x+2\right)}+\frac{x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}$$

\frac{x^{2}+8}{\left(x-2\right)\left(x+2\right)} va \frac{x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{2}+8+x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}$$

x^{2}+8+x\left(x-2\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{2}+8+x^{2}-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}$$

x^{2}+8+x^{2}-2x kabi iboralarga o‘xshab birlashtiring.

$$\frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}$$

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

$$\frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}$$

\frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)} va \frac{2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2x^{2}+8-2x-2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}$$

2x^{2}+8-2x-2x\left(x+2\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{2x^{2}+8-2x-2x^{2}-4x}{\left(x-2\right)\left(x+2\right)}$$

2x^{2}+8-2x-2x^{2}-4x kabi iboralarga o‘xshab birlashtiring.

$$\frac{8-6x}{\left(x-2\right)\left(x+2\right)}$$

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

$$\frac{8-6x}{x^{2}-4}$$

Kengaytirish

$$-\frac{2\left(3x-4\right)}{x^{2}-4}$$

Qisqa yechim qadamlari

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

$$\frac{x^{2}+8}{\left(x-2\right)\left(x+2\right)}+\frac{x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}$$

\frac{x^{2}+8}{\left(x-2\right)\left(x+2\right)} va \frac{x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{x^{2}+8+x\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}$$

x^{2}+8+x\left(x-2\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{2}+8+x^{2}-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}$$

x^{2}+8+x^{2}-2x kabi iboralarga o‘xshab birlashtiring.

$$\frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x}{x-2}$$

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

$$\frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)}-\frac{2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}$$

\frac{2x^{2}+8-2x}{\left(x-2\right)\left(x+2\right)} va \frac{2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{2x^{2}+8-2x-2x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}$$

2x^{2}+8-2x-2x\left(x+2\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{2x^{2}+8-2x-2x^{2}-4x}{\left(x-2\right)\left(x+2\right)}$$

2x^{2}+8-2x-2x^{2}-4x kabi iboralarga o‘xshab birlashtiring.

$$\frac{8-6x}{\left(x-2\right)\left(x+2\right)}$$

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

$$\frac{8-6x}{x^{2}-4}$$