2x^2+5x+2/3x^2+8x+4*3x^2-x-2/4x^3-x eching

$$\frac { 2 x ^ { 2 } + 5 x + 2 } { 3 x ^ { 2 } + 8 x + 4 } \cdot \frac { 3 x ^ { 2 } - x - 2 } { 4 x ^ { 3 } - x }$$

Baholash

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

Qisqa yechim qadamlari

\frac{2x^{2}+5x+2}{3x^{2}+8x+4} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(x+2\right)\left(2x+1\right)}{\left(x+2\right)\left(3x+2\right)}\times \frac{3x^{2}-x-2}{4x^{3}-x}$$

Surat va maxrajdagi ikkala x+2 ni qisqartiring.

$$\frac{2x+1}{3x+2}\times \frac{3x^{2}-x-2}{4x^{3}-x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2x+1}{3x+2} ni \frac{3x^{2}-x-2}{4x^{3}-x} ga ko‘paytiring.

$$\frac{\left(2x+1\right)\left(3x^{2}-x-2\right)}{\left(3x+2\right)\left(4x^{3}-x\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala \left(2x+1\right)\left(3x+2\right) ni qisqartiring.

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

Ifodani kengaytiring.

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

Kengaytirish

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

Qisqa yechim qadamlari

\frac{2x^{2}+5x+2}{3x^{2}+8x+4} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(x+2\right)\left(2x+1\right)}{\left(x+2\right)\left(3x+2\right)}\times \frac{3x^{2}-x-2}{4x^{3}-x}$$

Surat va maxrajdagi ikkala x+2 ni qisqartiring.

$$\frac{2x+1}{3x+2}\times \frac{3x^{2}-x-2}{4x^{3}-x}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2x+1}{3x+2} ni \frac{3x^{2}-x-2}{4x^{3}-x} ga ko‘paytiring.

$$\frac{\left(2x+1\right)\left(3x^{2}-x-2\right)}{\left(3x+2\right)\left(4x^{3}-x\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala \left(2x+1\right)\left(3x+2\right) ni qisqartiring.

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

Ifodani kengaytiring.

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