a/a+b+b/a-b eching

$$\frac { a } { a + b } + \frac { b } { a - b }$$

Baholash

$$\frac{a^{2}+b^{2}}{a^{2}-b^{2}}$$

Qisqa yechim qadamlari

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

$$\frac{a\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}+\frac{b\left(a+b\right)}{\left(a+b\right)\left(a-b\right)}$$

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

$$\frac{a\left(a-b\right)+b\left(a+b\right)}{\left(a+b\right)\left(a-b\right)}$$

a\left(a-b\right)+b\left(a+b\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{a^{2}-ab+ba+b^{2}}{\left(a+b\right)\left(a-b\right)}$$

a^{2}-ab+ba+b^{2} kabi iboralarga o‘xshab birlashtiring.

$$\frac{a^{2}+b^{2}}{\left(a+b\right)\left(a-b\right)}$$

\left(a+b\right)\left(a-b\right) ni kengaytirish.

$$\frac{a^{2}+b^{2}}{a^{2}-b^{2}}$$

a ga nisbatan hosilani topish

$$-4\times \left(\frac{b}{a^{2}-b^{2}}\right)^{2}a$$