2/x^2-3x4/x^2-9x+18 eching

$$\frac { 2 } { x ^ { 2 } - 3 x } \frac { 4 } { x ^ { 2 } - 9 x + 18 }$$

Baholash

$$\frac{8}{x\left(x-6\right)\left(x-3\right)^{2}}$$

Yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{x^{2}-3x} ni \frac{4}{x^{2}-9x+18} ga ko‘paytiring.

$$\frac{2\times 4}{\left(x^{2}-3x\right)\left(x^{2}-9x+18\right)}$$

8 hosil qilish uchun 2 va 4 ni ko'paytirish.

$$\frac{8}{\left(x^{2}-3x\right)\left(x^{2}-9x+18\right)}$$

x^{2}-3x ga x^{2}-9x+18 ni ko‘paytirish orqali distributiv xususiyatdan foydalaning va ifoda sifatida birlashtiring.

$$\frac{8}{x^{4}-12x^{3}+45x^{2}-54x}$$

x ga nisbatan hosilani topish

$$-\frac{8\left(\left(2x-6\right)^{2}-18\right)}{\left(x-3\right)^{3}\left(x\left(x-6\right)\right)^{2}}$$