3a/a+b+ab-5a^2/a^2-b^2+2a/a-b eching

$$\frac { 3 a } { a + b } + \frac { a b - 5 a ^ { 2 } } { a ^ { 2 } - b ^ { 2 } } + \frac { 2 a } { a - b }$$

Baholash

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Qisqa yechim qadamlari

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

$$\frac{3a}{a+b}+\frac{ab-5a^{2}}{\left(a+b\right)\left(a-b\right)}+\frac{2a}{a-b}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a+b va \left(a+b\right)\left(a-b\right) ning eng kichik umumiy karralisi \left(a+b\right)\left(a-b\right). \frac{3a}{a+b} ni \frac{a-b}{a-b} marotabaga ko'paytirish.

$$\frac{3a\left(a-b\right)}{\left(a+b\right)\left(a-b\right)}+\frac{ab-5a^{2}}{\left(a+b\right)\left(a-b\right)}+\frac{2a}{a-b}$$

\frac{3a\left(a-b\right)}{\left(a+b\right)\left(a-b\right)} va \frac{ab-5a^{2}}{\left(a+b\right)\left(a-b\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3a\left(a-b\right)+ab-5a^{2}}{\left(a+b\right)\left(a-b\right)}+\frac{2a}{a-b}$$

3a\left(a-b\right)+ab-5a^{2} ichidagi ko‘paytirishlarni bajaring.

$$\frac{3a^{2}-3ab+ab-5a^{2}}{\left(a+b\right)\left(a-b\right)}+\frac{2a}{a-b}$$

3a^{2}-3ab+ab-5a^{2} kabi iboralarga o‘xshab birlashtiring.

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

\frac{-2a^{2}-2ab}{\left(a+b\right)\left(a-b\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

-a-b mislodagi manfiy ishorani chiqarib tashlang.

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

Surat va maxrajdagi ikkala a+b ni qisqartiring.

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

\frac{-2a}{a-b} va \frac{2a}{a-b} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

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

-2a+2a kabi iboralarga o‘xshab birlashtiring.

$$\frac{0}{a-b}$$

Nolni nolga teng bo‘lmagan har qanday songa boʻlsangiz, natija nol chiqadi.

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Omil

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