-a+2/a-1*2a^2-4a/a^2-4diva/a^2-1 eching

$$\frac { - a + 2 } { a - 1 } \cdot \frac { 2 a ^ { 2 } - 4 a } { a ^ { 2 } - 4 } \div \frac { a } { a ^ { 2 } - 1 }$$

Baholash

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

Qisqa yechim qadamlari

\frac{2a^{2}-4a}{a^{2}-4} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\frac{-a+2}{a-1}\times \frac{2a\left(a-2\right)}{\left(a-2\right)\left(a+2\right)}}{\frac{a}{a^{2}-1}}$$

Surat va maxrajdagi ikkala a-2 ni qisqartiring.

$$\frac{\frac{-a+2}{a-1}\times \frac{2a}{a+2}}{\frac{a}{a^{2}-1}}$$

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

$$\frac{\frac{\left(-a+2\right)\times 2a}{\left(a-1\right)\left(a+2\right)}}{\frac{a}{a^{2}-1}}$$

\frac{\left(-a+2\right)\times 2a}{\left(a-1\right)\left(a+2\right)} ni \frac{a}{a^{2}-1} ga bo'lish \frac{\left(-a+2\right)\times 2a}{\left(a-1\right)\left(a+2\right)} ga k'paytirish \frac{a}{a^{2}-1} ga qaytarish.

$$\frac{\left(-a+2\right)\times 2a\left(a^{2}-1\right)}{\left(a-1\right)\left(a+2\right)a}$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{2\left(2-a\right)\left(a^{2}-1\right)}{\left(a-1\right)\left(a+2\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala a-1 ni qisqartiring.

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

Ifodani kengaytiring.

$$\frac{-2a^{2}+2a+4}{a+2}$$

Kengaytirish

$$-\frac{2\left(a^{2}-a-2\right)}{a+2}$$

Qisqa yechim qadamlari

\frac{2a^{2}-4a}{a^{2}-4} ichida hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\frac{-a+2}{a-1}\times \frac{2a\left(a-2\right)}{\left(a-2\right)\left(a+2\right)}}{\frac{a}{a^{2}-1}}$$

Surat va maxrajdagi ikkala a-2 ni qisqartiring.

$$\frac{\frac{-a+2}{a-1}\times \frac{2a}{a+2}}{\frac{a}{a^{2}-1}}$$

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

$$\frac{\frac{\left(-a+2\right)\times 2a}{\left(a-1\right)\left(a+2\right)}}{\frac{a}{a^{2}-1}}$$

\frac{\left(-a+2\right)\times 2a}{\left(a-1\right)\left(a+2\right)} ni \frac{a}{a^{2}-1} ga bo'lish \frac{\left(-a+2\right)\times 2a}{\left(a-1\right)\left(a+2\right)} ga k'paytirish \frac{a}{a^{2}-1} ga qaytarish.

$$\frac{\left(-a+2\right)\times 2a\left(a^{2}-1\right)}{\left(a-1\right)\left(a+2\right)a}$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{2\left(2-a\right)\left(a^{2}-1\right)}{\left(a-1\right)\left(a+2\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala a-1 ni qisqartiring.

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

Ifodani kengaytiring.

$$\frac{-2a^{2}+2a+4}{a+2}$$