x^2+1/x-6*x^2-36/x^3+x eching

$$\frac { x ^ { 2 } + 1 } { x - 6 } \cdot \frac { x ^ { 2 } - 36 } { x ^ { 3 } + x }$$

Baholash

$$\frac{x+6}{x}$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x^{2}+1}{x-6} ni \frac{x^{2}-36}{x^{3}+x} ga ko‘paytiring.

$$\frac{\left(x^{2}+1\right)\left(x^{2}-36\right)}{\left(x-6\right)\left(x^{3}+x\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala \left(x-6\right)\left(x^{2}+1\right) ni qisqartiring.

$$\frac{x+6}{x}$$

Kengaytirish

$$\frac{x+6}{x}$$

Qisqa yechim qadamlari

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{x^{2}+1}{x-6} ni \frac{x^{2}-36}{x^{3}+x} ga ko‘paytiring.

$$\frac{\left(x^{2}+1\right)\left(x^{2}-36\right)}{\left(x-6\right)\left(x^{3}+x\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala \left(x-6\right)\left(x^{2}+1\right) ni qisqartiring.

$$\frac{x+6}{x}$$