a/ab-b^2+b/a^2-ab+a+b/ab= eching

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

Baholash

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

Qisqa yechim qadamlari

Faktor: ab-b^{2}. Faktor: a^{2}-ab.

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

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

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

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

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

aa+bb ichidagi ko‘paytirishlarni bajaring.

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

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

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

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

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

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

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

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

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

Surat va maxrajdagi ikkala a ni qisqartiring.

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

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

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

Kengaytirish

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

Qisqa yechim qadamlari

Faktor: ab-b^{2}. Faktor: a^{2}-ab.

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

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

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

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

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

aa+bb ichidagi ko‘paytirishlarni bajaring.

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

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

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

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

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

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

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

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

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

Surat va maxrajdagi ikkala a ni qisqartiring.

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

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

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