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

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

Baholash

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

Qisqa yechim qadamlari

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

$$\frac{5-10x}{\left(2x-1\right)^{2}}x\times \frac{\left(2x+1\right)\left(x-1\right)}{3\left(x+1\right)}$$

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

$$\frac{5-10x}{\left(2x-1\right)^{2}}x\times \frac{2x^{2}-x-1}{3\left(x+1\right)}$$

3 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{5-10x}{\left(2x-1\right)^{2}}x\times \frac{2x^{2}-x-1}{3x+3}$$

\frac{5-10x}{\left(2x-1\right)^{2}}x ni yagona kasrga aylantiring.

$$\frac{\left(5-10x\right)x}{\left(2x-1\right)^{2}}\times \frac{2x^{2}-x-1}{3x+3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(5-10x\right)x}{\left(2x-1\right)^{2}} ni \frac{2x^{2}-x-1}{3x+3} ga ko‘paytiring.

$$\frac{\left(5-10x\right)x\left(2x^{2}-x-1\right)}{\left(2x-1\right)^{2}\left(3x+3\right)}$$

5-10x ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\left(5x-10x^{2}\right)\left(2x^{2}-x-1\right)}{\left(2x-1\right)^{2}\left(3x+3\right)}$$

5x-10x^{2} ga 2x^{2}-x-1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{20x^{3}+5x^{2}-5x-20x^{4}}{\left(2x-1\right)^{2}\left(3x+3\right)}$$

\left(2x-1\right)^{2} ga 3x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{20x^{3}+5x^{2}-5x-20x^{4}}{3\left(2x-1\right)^{2}x+3\left(2x-1\right)^{2}}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala 2x-1 ni qisqartiring.

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

Ifodani kengaytiring.

$$\frac{-10x^{3}+5x^{2}+5x}{6x^{2}+3x-3}$$

Kengaytirish

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

Qisqa yechim qadamlari

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

$$\frac{5-10x}{\left(2x-1\right)^{2}}x\times \frac{\left(2x+1\right)\left(x-1\right)}{3\left(x+1\right)}$$

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

$$\frac{5-10x}{\left(2x-1\right)^{2}}x\times \frac{2x^{2}-x-1}{3\left(x+1\right)}$$

3 ga x+1 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{5-10x}{\left(2x-1\right)^{2}}x\times \frac{2x^{2}-x-1}{3x+3}$$

\frac{5-10x}{\left(2x-1\right)^{2}}x ni yagona kasrga aylantiring.

$$\frac{\left(5-10x\right)x}{\left(2x-1\right)^{2}}\times \frac{2x^{2}-x-1}{3x+3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\left(5-10x\right)x}{\left(2x-1\right)^{2}} ni \frac{2x^{2}-x-1}{3x+3} ga ko‘paytiring.

$$\frac{\left(5-10x\right)x\left(2x^{2}-x-1\right)}{\left(2x-1\right)^{2}\left(3x+3\right)}$$

5-10x ga x ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\left(5x-10x^{2}\right)\left(2x^{2}-x-1\right)}{\left(2x-1\right)^{2}\left(3x+3\right)}$$

5x-10x^{2} ga 2x^{2}-x-1 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{20x^{3}+5x^{2}-5x-20x^{4}}{\left(2x-1\right)^{2}\left(3x+3\right)}$$

\left(2x-1\right)^{2} ga 3x+3 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{20x^{3}+5x^{2}-5x-20x^{4}}{3\left(2x-1\right)^{2}x+3\left(2x-1\right)^{2}}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala 2x-1 ni qisqartiring.

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

Ifodani kengaytiring.

$$\frac{-10x^{3}+5x^{2}+5x}{6x^{2}+3x-3}$$