2x^2+7x-4/x^2-36*x^2-4x-12/x^2+6x+8 eching

$$\frac { 2 x ^ { 2 } + 7 x - 4 } { x ^ { 2 } - 36 } \times \frac { x ^ { 2 } - 4 x - 12 } { x ^ { 2 } + 6 x + 8 }$$

Baholash

$$\frac{2x-1}{x+6}$$

Qisqa yechim qadamlari

\frac{x^{2}-4x-12}{x^{2}+6x+8} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2x^{2}+7x-4}{x^{2}-36}\times \frac{\left(x-6\right)\left(x+2\right)}{\left(x+2\right)\left(x+4\right)}$$

Surat va maxrajdagi ikkala x+2 ni qisqartiring.

$$\frac{2x^{2}+7x-4}{x^{2}-36}\times \frac{x-6}{x+4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2x^{2}+7x-4}{x^{2}-36} ni \frac{x-6}{x+4} ga ko‘paytiring.

$$\frac{\left(2x^{2}+7x-4\right)\left(x-6\right)}{\left(x^{2}-36\right)\left(x+4\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala \left(x-6\right)\left(x+4\right) ni qisqartiring.

$$\frac{2x-1}{x+6}$$

Kengaytirish

$$\frac{2x-1}{x+6}$$

Qisqa yechim qadamlari

\frac{x^{2}-4x-12}{x^{2}+6x+8} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2x^{2}+7x-4}{x^{2}-36}\times \frac{\left(x-6\right)\left(x+2\right)}{\left(x+2\right)\left(x+4\right)}$$

Surat va maxrajdagi ikkala x+2 ni qisqartiring.

$$\frac{2x^{2}+7x-4}{x^{2}-36}\times \frac{x-6}{x+4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2x^{2}+7x-4}{x^{2}-36} ni \frac{x-6}{x+4} ga ko‘paytiring.

$$\frac{\left(2x^{2}+7x-4\right)\left(x-6\right)}{\left(x^{2}-36\right)\left(x+4\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala \left(x-6\right)\left(x+4\right) ni qisqartiring.

$$\frac{2x-1}{x+6}$$