frac{a^{2}+b^{2}}{ab}-a^2/ab-b^2+b^2/a^2-ab= eching

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

Baholash

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Qisqa yechim qadamlari

Faktor: ab-b^{2}.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. ab va b\left(a-b\right) ning eng kichik umumiy karralisi ab\left(a-b\right). \frac{a^{2}+b^{2}}{ab} ni \frac{a-b}{a-b} marotabaga ko'paytirish. \frac{a^{2}}{b\left(a-b\right)} ni \frac{a}{a} marotabaga ko'paytirish.

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

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

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

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

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

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

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

\frac{b^{2}a-a^{2}b-b^{3}}{ab\left(a-b\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala b ni qisqartiring.

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

Faktor: a^{2}-ab.

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

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

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

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

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

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

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

-a+b mislodagi manfiy ishorani chiqarib tashlang.

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

Surat va maxrajdagi ikkala a\left(a-b\right) ni qisqartiring.

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Omil

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