2x-3/x+1*2x-5/x-1= eching

$$\frac { 2 x - 3 } { x + 1 } \times \frac { 2 x - 5 } { x - 1 } =$$

Baholash

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

Qisqa yechim qadamlari

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

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

2x-3 ifodaning har bir elementini 2x-5 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\frac{4x^{2}-10x-6x+15}{\left(x+1\right)\left(x-1\right)}$$

-16x ni olish uchun -10x va -6x ni birlashtirish.

$$\frac{4x^{2}-16x+15}{\left(x+1\right)\left(x-1\right)}$$

Hisoblang: \left(x+1\right)\left(x-1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{4x^{2}-16x+15}{x^{2}-1^{2}}$$

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{4x^{2}-16x+15}{x^{2}-1}$$

Kengaytirish

$$\frac{4x^{2}-16x+15}{x^{2}-1}$$

Qisqa yechim qadamlari

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

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

2x-3 ifodaning har bir elementini 2x-5 ifodaning har bir elementiga ko‘paytirish orqali taqsimot qonuni xususiyatlarini qo‘llash mumkin.

$$\frac{4x^{2}-10x-6x+15}{\left(x+1\right)\left(x-1\right)}$$

-16x ni olish uchun -10x va -6x ni birlashtirish.

$$\frac{4x^{2}-16x+15}{\left(x+1\right)\left(x-1\right)}$$

Hisoblang: \left(x+1\right)\left(x-1\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

$$\frac{4x^{2}-16x+15}{x^{2}-1^{2}}$$

2 daraja ko‘rsatkichini 1 ga hisoblang va 1 ni qiymatni oling.

$$\frac{4x^{2}-16x+15}{x^{2}-1}$$