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

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

Baholash

$$\frac{3x}{x^{2}-y^{2}}$$

Qisqa yechim qadamlari

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

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

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.

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

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

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

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

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

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

$$\frac{3x}{x^{2}-y^{2}}$$

Kengaytirish

$$\frac{3x}{x^{2}-y^{2}}$$

Qisqa yechim qadamlari

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

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

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.

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

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

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

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

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

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

$$\frac{3x}{x^{2}-y^{2}}$$