b^2+2/b^4-1+3/1-b^4 eching

$$\frac { b ^ { 2 } + 2 } { b ^ { 4 } - 1 } + \frac { 3 } { 1 - b ^ { 4 } }$$

Baholash

$$\frac{1}{b^{2}+1}$$

Qisqa yechim qadamlari

Faktor: b^{4}-1. Faktor: 1-b^{4}.

$$\frac{b^{2}+2}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}+\frac{3}{\left(b-1\right)\left(b+1\right)\left(-b^{2}-1\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(b-1\right)\left(b+1\right)\left(b^{2}+1\right) va \left(b-1\right)\left(b+1\right)\left(-b^{2}-1\right) ning eng kichik umumiy karralisi \left(b-1\right)\left(b+1\right)\left(b^{2}+1\right). \frac{3}{\left(b-1\right)\left(b+1\right)\left(-b^{2}-1\right)} ni \frac{-1}{-1} marotabaga ko'paytirish.

$$\frac{b^{2}+2}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}+\frac{3\left(-1\right)}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}$$

\frac{b^{2}+2}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)} va \frac{3\left(-1\right)}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{b^{2}+2+3\left(-1\right)}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}$$

b^{2}+2+3\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{b^{2}+2-3}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}$$

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

$$\frac{b^{2}-1}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}$$

\frac{b^{2}-1}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(b-1\right)\left(b+1\right)}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}$$

Surat va maxrajdagi ikkala \left(b-1\right)\left(b+1\right) ni qisqartiring.

$$\frac{1}{b^{2}+1}$$

Kengaytirish

$$\frac{1}{b^{2}+1}$$

Qisqa yechim qadamlari

Faktor: b^{4}-1. Faktor: 1-b^{4}.

$$\frac{b^{2}+2}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}+\frac{3}{\left(b-1\right)\left(b+1\right)\left(-b^{2}-1\right)}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(b-1\right)\left(b+1\right)\left(b^{2}+1\right) va \left(b-1\right)\left(b+1\right)\left(-b^{2}-1\right) ning eng kichik umumiy karralisi \left(b-1\right)\left(b+1\right)\left(b^{2}+1\right). \frac{3}{\left(b-1\right)\left(b+1\right)\left(-b^{2}-1\right)} ni \frac{-1}{-1} marotabaga ko'paytirish.

$$\frac{b^{2}+2}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}+\frac{3\left(-1\right)}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}$$

\frac{b^{2}+2}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)} va \frac{3\left(-1\right)}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{b^{2}+2+3\left(-1\right)}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}$$

b^{2}+2+3\left(-1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{b^{2}+2-3}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}$$

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

$$\frac{b^{2}-1}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}$$

\frac{b^{2}-1}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(b-1\right)\left(b+1\right)}{\left(b-1\right)\left(b+1\right)\left(b^{2}+1\right)}$$

Surat va maxrajdagi ikkala \left(b-1\right)\left(b+1\right) ni qisqartiring.

$$\frac{1}{b^{2}+1}$$