x^2x-6/x^2-4divx^2+3x/x^2+2x= eching

$$\frac { x ^ { 2 } x - 6 } { x ^ { 2 } - 4 } \div \frac { x ^ { 2 } + 3 x } { x ^ { 2 } + 2 x } =$$

Baholash

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

Qisqa yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{\frac{x^{3}-6}{x^{2}-4}}{\frac{x^{2}+3x}{x^{2}+2x}}$$

\frac{x^{3}-6}{x^{2}-4} ni \frac{x^{2}+3x}{x^{2}+2x} ga bo'lish \frac{x^{3}-6}{x^{2}-4} ga k'paytirish \frac{x^{2}+3x}{x^{2}+2x} ga qaytarish.

$$\frac{\left(x^{3}-6\right)\left(x^{2}+2x\right)}{\left(x^{2}-4\right)\left(x^{2}+3x\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

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

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

Ifodani kengaytiring.

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

Kengaytirish

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

Qisqa yechim qadamlari

Ayni asosning daraja ko‘rsatkichlarini ko‘paytirish uchun ularning darajalarini qo‘shing. 2 va 1 ni qo‘shib, 3 ni oling.

$$\frac{\frac{x^{3}-6}{x^{2}-4}}{\frac{x^{2}+3x}{x^{2}+2x}}$$

\frac{x^{3}-6}{x^{2}-4} ni \frac{x^{2}+3x}{x^{2}+2x} ga bo'lish \frac{x^{3}-6}{x^{2}-4} ga k'paytirish \frac{x^{2}+3x}{x^{2}+2x} ga qaytarish.

$$\frac{\left(x^{3}-6\right)\left(x^{2}+2x\right)}{\left(x^{2}-4\right)\left(x^{2}+3x\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

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

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

Ifodani kengaytiring.

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