=y^2-y^3-1/y+frac{1{y+1}} eching

$$= y ^ { 2 } - \frac { y ^ { 3 } - 1 } { y + \frac { 1 } { y + 1 } }$$

Baholash

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Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. y ni \frac{y+1}{y+1} marotabaga ko'paytirish.

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

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

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

y\left(y+1\right)+1 ichidagi ko‘paytirishlarni bajaring.

$$y^{2}-\frac{y^{3}-1}{\frac{y^{2}+y+1}{y+1}}$$

y^{3}-1 ni \frac{y^{2}+y+1}{y+1} ga bo'lish y^{3}-1 ga k'paytirish \frac{y^{2}+y+1}{y+1} ga qaytarish.

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

\frac{\left(y^{3}-1\right)\left(y+1\right)}{y^{2}+y+1} ichida hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala y^{2}+y+1 ni qisqartiring.

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

Ifodani kengaytiring.

$$y^{2}-\left(y^{2}-1\right)$$

y^{2}-1 teskarisini topish uchun har birining teskarisini toping.

$$y^{2}-y^{2}+1$$

0 ni olish uchun y^{2} va -y^{2} ni birlashtirish.

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Omil

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