(3/a+1-a+1)diva^2-4a+4/a+1 eching

$$( \frac { 3 } { a + 1 } - a + 1 ) \div \frac { a ^ { 2 } - 4 a + 4 } { a + 1 }$$

Baholash

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

Qisqa yechim qadamlari

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

$$\frac{\frac{3}{a+1}+\frac{\left(-a+1\right)\left(a+1\right)}{a+1}}{\frac{a^{2}-4a+4}{a+1}}$$

\frac{3}{a+1} va \frac{\left(-a+1\right)\left(a+1\right)}{a+1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{3+\left(-a+1\right)\left(a+1\right)}{a+1}}{\frac{a^{2}-4a+4}{a+1}}$$

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

$$\frac{\frac{3-a^{2}-a+a+1}{a+1}}{\frac{a^{2}-4a+4}{a+1}}$$

3-a^{2}-a+a+1 kabi iboralarga o‘xshab birlashtiring.

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

\frac{4-a^{2}}{a+1} ni \frac{a^{2}-4a+4}{a+1} ga bo'lish \frac{4-a^{2}}{a+1} ga k'paytirish \frac{a^{2}-4a+4}{a+1} ga qaytarish.

$$\frac{\left(4-a^{2}\right)\left(a+1\right)}{\left(a+1\right)\left(a^{2}-4a+4\right)}$$

Surat va maxrajdagi ikkala a+1 ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala a-2 ni qisqartiring.

$$\frac{-a-2}{a-2}$$

Kengaytirish

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

Qisqa yechim qadamlari

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

$$\frac{\frac{3}{a+1}+\frac{\left(-a+1\right)\left(a+1\right)}{a+1}}{\frac{a^{2}-4a+4}{a+1}}$$

\frac{3}{a+1} va \frac{\left(-a+1\right)\left(a+1\right)}{a+1} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{\frac{3+\left(-a+1\right)\left(a+1\right)}{a+1}}{\frac{a^{2}-4a+4}{a+1}}$$

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

$$\frac{\frac{3-a^{2}-a+a+1}{a+1}}{\frac{a^{2}-4a+4}{a+1}}$$

3-a^{2}-a+a+1 kabi iboralarga o‘xshab birlashtiring.

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

\frac{4-a^{2}}{a+1} ni \frac{a^{2}-4a+4}{a+1} ga bo'lish \frac{4-a^{2}}{a+1} ga k'paytirish \frac{a^{2}-4a+4}{a+1} ga qaytarish.

$$\frac{\left(4-a^{2}\right)\left(a+1\right)}{\left(a+1\right)\left(a^{2}-4a+4\right)}$$

Surat va maxrajdagi ikkala a+1 ni qisqartiring.

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

Hali faktorlanmagan ifodalarni faktorlang.

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

Surat va maxrajdagi ikkala a-2 ni qisqartiring.

$$\frac{-a-2}{a-2}$$