1/x-y-2y/x^2-y^2= eching

$$\frac { 1 } { x - y } - \frac { 2 y } { x ^ { 2 } - y ^ { 2 } } =$$

Baholash

$$\frac{1}{x+y}$$

Qisqa yechim qadamlari

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

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

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

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

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

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

x+y-2y kabi iboralarga o‘xshab birlashtiring.

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

Surat va maxrajdagi ikkala x-y ni qisqartiring.

$$\frac{1}{x+y}$$

x ga nisbatan hosilani topish

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