2x^3-3x^2-39x+20/x-1 eching

$$2 { x }^{ 3 } -3 { x }^{ 2 } -39x+ \frac{ 20 }{ x-1 }$$

Baholash

$$\frac{2x^{4}-5x^{3}-36x^{2}+39x+20}{x-1}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2x^{3}-3x^{2}-39x ni \frac{x-1}{x-1} marotabaga ko'paytirish.

$$\frac{\left(2x^{3}-3x^{2}-39x\right)\left(x-1\right)}{x-1}+\frac{20}{x-1}$$

\frac{\left(2x^{3}-3x^{2}-39x\right)\left(x-1\right)}{x-1} va \frac{20}{x-1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\left(2x^{3}-3x^{2}-39x\right)\left(x-1\right)+20}{x-1}$$

\left(2x^{3}-3x^{2}-39x\right)\left(x-1\right)+20 ichidagi ko‘paytirishlarni bajaring.

$$\frac{2x^{4}-2x^{3}-3x^{3}+3x^{2}-39x^{2}+39x+20}{x-1}$$

2x^{4}-2x^{3}-3x^{3}+3x^{2}-39x^{2}+39x+20 kabi iboralarga o‘xshab birlashtiring.

$$\frac{2x^{4}-5x^{3}-36x^{2}+39x+20}{x-1}$$

x ga nisbatan hosilani topish

$$\frac{6x^{4}-18x^{3}-21x^{2}+72x-59}{\left(x-1\right)^{2}}$$