x^2+9x/x^2+3x-x^2-9/x^2+6x+9 eching

$$\frac { x ^ { 2 } + 9 x } { x ^ { 2 } + 3 x } - \frac { x ^ { 2 } - 9 } { x ^ { 2 } + 6 x + 9 }$$

Baholash

$$\frac{12}{x+3}$$

Qisqa yechim qadamlari

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

$$\frac{x\left(x+9\right)}{x\left(x+3\right)}-\frac{x^{2}-9}{x^{2}+6x+9}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{x+9}{x+3}-\frac{x^{2}-9}{x^{2}+6x+9}$$

\frac{x^{2}-9}{x^{2}+6x+9} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{x+9}{x+3}-\frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)^{2}}$$

Surat va maxrajdagi ikkala x+3 ni qisqartiring.

$$\frac{x+9}{x+3}-\frac{x-3}{x+3}$$

\frac{x+9}{x+3} va \frac{x-3}{x+3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{x+9-\left(x-3\right)}{x+3}$$

x+9-\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x+9-x+3}{x+3}$$

x+9-x+3 kabi iboralarga o‘xshab birlashtiring.

$$\frac{12}{x+3}$$

Kengaytirish

$$\frac{12}{x+3}$$

Qisqa yechim qadamlari

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

$$\frac{x\left(x+9\right)}{x\left(x+3\right)}-\frac{x^{2}-9}{x^{2}+6x+9}$$

Surat va maxrajdagi ikkala x ni qisqartiring.

$$\frac{x+9}{x+3}-\frac{x^{2}-9}{x^{2}+6x+9}$$

\frac{x^{2}-9}{x^{2}+6x+9} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{x+9}{x+3}-\frac{\left(x-3\right)\left(x+3\right)}{\left(x+3\right)^{2}}$$

Surat va maxrajdagi ikkala x+3 ni qisqartiring.

$$\frac{x+9}{x+3}-\frac{x-3}{x+3}$$

\frac{x+9}{x+3} va \frac{x-3}{x+3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{x+9-\left(x-3\right)}{x+3}$$

x+9-\left(x-3\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{x+9-x+3}{x+3}$$

x+9-x+3 kabi iboralarga o‘xshab birlashtiring.

$$\frac{12}{x+3}$$