x+2y+4y^2/x-2y-4x^2y/x^2-4y^2 eching

$$x + 2 y + \frac { 4 y ^ { 2 } } { x - 2 y } - \frac { 4 x ^ { 2 } y } { x ^ { 2 } - 4 y ^ { 2 } }$$

Baholash

$$\frac{x^{2}}{x+2y}$$

Qisqa yechim qadamlari

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

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

\frac{\left(x+2y\right)\left(x-2y\right)}{x-2y} va \frac{4y^{2}}{x-2y} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

\left(x+2y\right)\left(x-2y\right)+4y^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{x^{2}-2xy+2yx-4y^{2}+4y^{2}}{x-2y}-\frac{4x^{2}y}{x^{2}-4y^{2}}$$

x^{2}-2xy+2yx-4y^{2}+4y^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{x^{2}}{x-2y}-\frac{4x^{2}y}{x^{2}-4y^{2}}$$

Faktor: x^{2}-4y^{2}.

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

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

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

\frac{x^{2}\left(x+2y\right)}{\left(x-2y\right)\left(x+2y\right)} va \frac{4x^{2}y}{\left(x-2y\right)\left(x+2y\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

x^{2}\left(x+2y\right)-4x^{2}y ichidagi ko‘paytirishlarni bajaring.

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

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

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

\frac{x^{3}-2x^{2}y}{\left(x-2y\right)\left(x+2y\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x-2y ni qisqartiring.

$$\frac{x^{2}}{x+2y}$$

x ga nisbatan hosilani topish

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