frac{x-4x^{2}+x-4}{x^{4}-x^{3}+x^{2}-x}*2x^3+2x^2+x+1/2x^3-8x^2+x-4 eching

$$\frac { x - 4 x ^ { 2 } + x - 4 } { x ^ { 4 } - x ^ { 3 } + x ^ { 2 } - x } \cdot \frac { 2 x ^ { 3 } + 2 x ^ { 2 } + x + 1 } { 2 x ^ { 3 } - 8 x ^ { 2 } + x - 4 }$$

Baholash

$$\frac{2\left(x+1\right)\left(-2x^{2}+x-2\right)}{x\left(x-4\right)\left(x-1\right)\left(x^{2}+1\right)}$$

Qisqa yechim qadamlari

2x ni olish uchun x va x ni birlashtirish.

$$\frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x}\times \frac{2x^{3}+2x^{2}+x+1}{2x^{3}-8x^{2}+x-4}$$

\frac{2x^{3}+2x^{2}+x+1}{2x^{3}-8x^{2}+x-4} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x}\times \frac{\left(x+1\right)\left(2x^{2}+1\right)}{\left(x-4\right)\left(2x^{2}+1\right)}$$

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

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x} ni \frac{x+1}{x-4} ga ko‘paytiring.

$$\frac{\left(2x-4x^{2}-4\right)\left(x+1\right)}{\left(x^{4}-x^{3}+x^{2}-x\right)\left(x-4\right)}$$

2x-4x^{2}-4 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{-2x^{2}-2x-4x^{3}-4}{\left(x^{4}-x^{3}+x^{2}-x\right)\left(x-4\right)}$$

x^{4}-x^{3}+x^{2}-x ga x-4 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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

Kengaytirish

$$-\frac{2\left(2x^{3}+x^{2}+x+2\right)}{\left(x-4\right)\left(x^{4}-x^{3}+x^{2}-x\right)}$$

Qisqa yechim qadamlari

2x ni olish uchun x va x ni birlashtirish.

$$\frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x}\times \frac{2x^{3}+2x^{2}+x+1}{2x^{3}-8x^{2}+x-4}$$

\frac{2x^{3}+2x^{2}+x+1}{2x^{3}-8x^{2}+x-4} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x}\times \frac{\left(x+1\right)\left(2x^{2}+1\right)}{\left(x-4\right)\left(2x^{2}+1\right)}$$

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

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

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2x-4x^{2}-4}{x^{4}-x^{3}+x^{2}-x} ni \frac{x+1}{x-4} ga ko‘paytiring.

$$\frac{\left(2x-4x^{2}-4\right)\left(x+1\right)}{\left(x^{4}-x^{3}+x^{2}-x\right)\left(x-4\right)}$$

2x-4x^{2}-4 ga x+1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{-2x^{2}-2x-4x^{3}-4}{\left(x^{4}-x^{3}+x^{2}-x\right)\left(x-4\right)}$$

x^{4}-x^{3}+x^{2}-x ga x-4 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

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