a-2/(a+1)^2div(a-3a/a+1) eching

$$\frac { a - 2 } { ( a + 1 ) ^ { 2 } } \div ( a - \frac { 3 a } { a + 1 } )$$

Baholash

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

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a ni \frac{a+1}{a+1} marotabaga ko'paytirish.

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

\frac{a\left(a+1\right)}{a+1} va \frac{3a}{a+1} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

a\left(a+1\right)-3a ichidagi ko‘paytirishlarni bajaring.

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

a^{2}+a-3a kabi iboralarga o‘xshab birlashtiring.

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

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

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

Surat va maxrajdagi ikkala a+1 ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala a-2 ni qisqartiring.

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

Ifodani kengaytiring.

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

Kengaytirish

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

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. a ni \frac{a+1}{a+1} marotabaga ko'paytirish.

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

\frac{a\left(a+1\right)}{a+1} va \frac{3a}{a+1} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

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

a\left(a+1\right)-3a ichidagi ko‘paytirishlarni bajaring.

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

a^{2}+a-3a kabi iboralarga o‘xshab birlashtiring.

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

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

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

Surat va maxrajdagi ikkala a+1 ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala a-2 ni qisqartiring.

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

Ifodani kengaytiring.

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