frac{x^{2}+3x+2}{x^{4}y}*frac{x^{5}y^2+3x^4y^2}{x^2+4x+3} eching

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

Baholash

$$y\left(x+2\right)$$

Qisqa yechim qadamlari

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

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

Surat va maxrajdagi ikkala x+3 ni qisqartiring.

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

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

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

Surat va maxrajdagi ikkala yx^{4} ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x+1 ni qisqartiring.

$$y\left(x+2\right)$$

Ifodani kengaytiring.

$$xy+2y$$

Kengaytirish

$$xy+2y$$

Qisqa yechim qadamlari

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

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

Surat va maxrajdagi ikkala x+3 ni qisqartiring.

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

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

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

Surat va maxrajdagi ikkala yx^{4} ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala x+1 ni qisqartiring.

$$y\left(x+2\right)$$

Ifodani kengaytiring.

$$xy+2y$$