-4/x*x/2x^2+8div4x/x eching

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

Baholash

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

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{-4}{x} ni \frac{x}{2x^{2}+8} ga ko‘paytiring.

$$\frac{\frac{-4x}{x\left(2x^{2}+8\right)}}{\frac{4x}{x}}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

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

Surat va maxrajdagi ikkala x ni qisqartiring.

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

\frac{\frac{-4}{2x^{2}+8}}{4} ni yagona kasrga aylantiring.

$$\frac{-4}{\left(2x^{2}+8\right)\times 4}$$

2x^{2}+8 ga 4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{-4}{8x^{2}+32}$$

x ga nisbatan hosilani topish

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