5/2(x-1)2x/3(1-x)^3 eching

$$\frac { 5 } { 2 ( x - 1 ) } \frac { 2 x } { 3 ( 1 - x ) ^ { 3 } }$$

Baholash

$$-\frac{5x}{3\left(1-x\right)^{4}}$$

Qisqa yechim qadamlari

2 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{5}{2x-2}\times \frac{2x}{3\left(1-x\right)^{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{2x-2} ni \frac{2x}{3\left(1-x\right)^{3}} ga ko‘paytiring.

$$\frac{5\times 2x}{\left(2x-2\right)\times 3\left(1-x\right)^{3}}$$

10 hosil qilish uchun 5 va 2 ni ko'paytirish.

$$\frac{10x}{\left(2x-2\right)\times 3\left(1-x\right)^{3}}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{10x}{2\times 3\left(x-1\right)\left(-x+1\right)^{3}}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{5x}{3\left(x-1\right)\left(-x+1\right)^{3}}$$

Ifodani kengaytiring.

$$\frac{5x}{-3x^{4}+12x^{3}-18x^{2}+12x-3}$$

Kengaytirish

$$-\frac{5x}{3\left(1-x\right)^{4}}$$

Qisqa yechim qadamlari

2 ga x-1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{5}{2x-2}\times \frac{2x}{3\left(1-x\right)^{3}}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{2x-2} ni \frac{2x}{3\left(1-x\right)^{3}} ga ko‘paytiring.

$$\frac{5\times 2x}{\left(2x-2\right)\times 3\left(1-x\right)^{3}}$$

10 hosil qilish uchun 5 va 2 ni ko'paytirish.

$$\frac{10x}{\left(2x-2\right)\times 3\left(1-x\right)^{3}}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{10x}{2\times 3\left(x-1\right)\left(-x+1\right)^{3}}$$

Surat va maxrajdagi ikkala 2 ni qisqartiring.

$$\frac{5x}{3\left(x-1\right)\left(-x+1\right)^{3}}$$

Ifodani kengaytiring.

$$\frac{5x}{-3x^{4}+12x^{3}-18x^{2}+12x-3}$$