2x^2-7x+3/x^2-9*3x^2+8x-3/6x^2+x-1 eching

$$\frac { 2 x ^ { 2 } - 7 x + 3 } { x ^ { 2 } - 9 } \cdot \frac { 3 x ^ { 2 } + 8 x - 3 } { 6 x ^ { 2 } + x - 1 }$$

Baholash

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

Qisqa yechim qadamlari

\frac{2x^{2}-7x+3}{x^{2}-9} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(x-3\right)\left(2x-1\right)}{\left(x-3\right)\left(x+3\right)}\times \frac{3x^{2}+8x-3}{6x^{2}+x-1}$$

Surat va maxrajdagi ikkala x-3 ni qisqartiring.

$$\frac{2x-1}{x+3}\times \frac{3x^{2}+8x-3}{6x^{2}+x-1}$$

\frac{3x^{2}+8x-3}{6x^{2}+x-1} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2x-1}{x+3}\times \frac{\left(3x-1\right)\left(x+3\right)}{\left(3x-1\right)\left(2x+1\right)}$$

Surat va maxrajdagi ikkala 3x-1 ni qisqartiring.

$$\frac{2x-1}{x+3}\times \frac{x+3}{2x+1}$$

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

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

Surat va maxrajdagi ikkala x+3 ni qisqartiring.

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

Kengaytirish

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

Qisqa yechim qadamlari

\frac{2x^{2}-7x+3}{x^{2}-9} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(x-3\right)\left(2x-1\right)}{\left(x-3\right)\left(x+3\right)}\times \frac{3x^{2}+8x-3}{6x^{2}+x-1}$$

Surat va maxrajdagi ikkala x-3 ni qisqartiring.

$$\frac{2x-1}{x+3}\times \frac{3x^{2}+8x-3}{6x^{2}+x-1}$$

\frac{3x^{2}+8x-3}{6x^{2}+x-1} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{2x-1}{x+3}\times \frac{\left(3x-1\right)\left(x+3\right)}{\left(3x-1\right)\left(2x+1\right)}$$

Surat va maxrajdagi ikkala 3x-1 ni qisqartiring.

$$\frac{2x-1}{x+3}\times \frac{x+3}{2x+1}$$

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

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

Surat va maxrajdagi ikkala x+3 ni qisqartiring.

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