x-4/x+2*2+x/3-xdivx-8/x-3 eching

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

Baholash

$$-\frac{x-4}{x-8}$$

Yechim qadamlari

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

$$\frac{\frac{\left(x-4\right)\left(2+x\right)}{\left(x+2\right)\left(3-x\right)}}{\frac{x-8}{x-3}}$$

Surat va maxrajdagi ikkala x+2 ni qisqartiring.

$$\frac{\frac{x-4}{-x+3}}{\frac{x-8}{x-3}}$$

\frac{x-4}{-x+3} ni \frac{x-8}{x-3} ga bo'lish \frac{x-4}{-x+3} ga k'paytirish \frac{x-8}{x-3} ga qaytarish.

$$\frac{\left(x-4\right)\left(x-3\right)}{\left(-x+3\right)\left(x-8\right)}$$

x-3 mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-\left(x-4\right)\left(-x+3\right)}{\left(x-8\right)\left(-x+3\right)}$$

Surat va maxrajdagi ikkala -x+3 ni qisqartiring.

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

x-4 teskarisini topish uchun har birining teskarisini toping.

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

-4 ning teskarisi 4 ga teng.

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

Kengaytirish

$$-\frac{x-4}{x-8}$$

Yechim qadamlari

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

$$\frac{\frac{\left(x-4\right)\left(2+x\right)}{\left(x+2\right)\left(3-x\right)}}{\frac{x-8}{x-3}}$$

Surat va maxrajdagi ikkala x+2 ni qisqartiring.

$$\frac{\frac{x-4}{-x+3}}{\frac{x-8}{x-3}}$$

\frac{x-4}{-x+3} ni \frac{x-8}{x-3} ga bo'lish \frac{x-4}{-x+3} ga k'paytirish \frac{x-8}{x-3} ga qaytarish.

$$\frac{\left(x-4\right)\left(x-3\right)}{\left(-x+3\right)\left(x-8\right)}$$

x-3 mislodagi manfiy ishorani chiqarib tashlang.

$$\frac{-\left(x-4\right)\left(-x+3\right)}{\left(x-8\right)\left(-x+3\right)}$$

Surat va maxrajdagi ikkala -x+3 ni qisqartiring.

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

x-4 teskarisini topish uchun har birining teskarisini toping.

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

-4 ning teskarisi 4 ga teng.

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