(3a/1-3a-2a/3a+1):6a^2+10a/1-6a+9a^2 eching

$$( \frac { 3 a } { 1 - 3 a } - \frac { 2 a } { 3 a + 1 } ) : \frac { 6 a ^ { 2 } + 10 a } { 1 - 6 a + 9 a ^ { 2 } }$$

Baholash

$$-\frac{\left(3a-1\right)\left(15a+1\right)}{2\left(3a+1\right)\left(3a+5\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1-3a va 3a+1 ning eng kichik umumiy karralisi \left(-3a+1\right)\left(3a+1\right). \frac{3a}{1-3a} ni \frac{3a+1}{3a+1} marotabaga ko'paytirish. \frac{2a}{3a+1} ni \frac{-3a+1}{-3a+1} marotabaga ko'paytirish.

$$\frac{\frac{3a\left(3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}-\frac{2a\left(-3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

\frac{3a\left(3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)} va \frac{2a\left(-3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3a\left(3a+1\right)-2a\left(-3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

3a\left(3a+1\right)-2a\left(-3a+1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{9a^{2}+3a+6a^{2}-2a}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

9a^{2}+3a+6a^{2}-2a kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

\frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)} ni \frac{6a^{2}+10a}{1-6a+9a^{2}} ga bo'lish \frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)} ga k'paytirish \frac{6a^{2}+10a}{1-6a+9a^{2}} ga qaytarish.

$$\frac{\left(15a^{2}+a\right)\left(1-6a+9a^{2}\right)}{\left(-3a+1\right)\left(3a+1\right)\left(6a^{2}+10a\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{a\left(15a+1\right)\left(3a-1\right)^{2}}{2a\left(-3a+1\right)\left(3a+1\right)\left(3a+5\right)}$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{\left(15a+1\right)\left(3a-1\right)^{2}}{2\left(-3a+1\right)\left(3a+1\right)\left(3a+5\right)}$$

Ifodani kengaytiring.

$$\frac{135a^{3}-81a^{2}+9a+1}{-54a^{3}-90a^{2}+6a+10}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(15a+1\right)\left(3a-1\right)^{2}}{2\left(-3a-1\right)\left(3a-1\right)\left(3a+5\right)}$$

Surat va maxrajdagi ikkala 3a-1 ni qisqartiring.

$$\frac{\left(3a-1\right)\left(15a+1\right)}{2\left(-3a-1\right)\left(3a+5\right)}$$

Ifodani kengaytiring.

$$\frac{45a^{2}-12a-1}{-18a^{2}-36a-10}$$

Kengaytirish

$$-\frac{45a^{2}-12a-1}{2\left(3a+1\right)\left(3a+5\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1-3a va 3a+1 ning eng kichik umumiy karralisi \left(-3a+1\right)\left(3a+1\right). \frac{3a}{1-3a} ni \frac{3a+1}{3a+1} marotabaga ko'paytirish. \frac{2a}{3a+1} ni \frac{-3a+1}{-3a+1} marotabaga ko'paytirish.

$$\frac{\frac{3a\left(3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}-\frac{2a\left(-3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

\frac{3a\left(3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)} va \frac{2a\left(-3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\frac{3a\left(3a+1\right)-2a\left(-3a+1\right)}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

3a\left(3a+1\right)-2a\left(-3a+1\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{\frac{9a^{2}+3a+6a^{2}-2a}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

9a^{2}+3a+6a^{2}-2a kabi iboralarga o‘xshab birlashtiring.

$$\frac{\frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)}}{\frac{6a^{2}+10a}{1-6a+9a^{2}}}$$

\frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)} ni \frac{6a^{2}+10a}{1-6a+9a^{2}} ga bo'lish \frac{15a^{2}+a}{\left(-3a+1\right)\left(3a+1\right)} ga k'paytirish \frac{6a^{2}+10a}{1-6a+9a^{2}} ga qaytarish.

$$\frac{\left(15a^{2}+a\right)\left(1-6a+9a^{2}\right)}{\left(-3a+1\right)\left(3a+1\right)\left(6a^{2}+10a\right)}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{a\left(15a+1\right)\left(3a-1\right)^{2}}{2a\left(-3a+1\right)\left(3a+1\right)\left(3a+5\right)}$$

Surat va maxrajdagi ikkala a ni qisqartiring.

$$\frac{\left(15a+1\right)\left(3a-1\right)^{2}}{2\left(-3a+1\right)\left(3a+1\right)\left(3a+5\right)}$$

Ifodani kengaytiring.

$$\frac{135a^{3}-81a^{2}+9a+1}{-54a^{3}-90a^{2}+6a+10}$$

Hali faktorlanmagan ifodalarni faktorlang.

$$\frac{\left(15a+1\right)\left(3a-1\right)^{2}}{2\left(-3a-1\right)\left(3a-1\right)\left(3a+5\right)}$$

Surat va maxrajdagi ikkala 3a-1 ni qisqartiring.

$$\frac{\left(3a-1\right)\left(15a+1\right)}{2\left(-3a-1\right)\left(3a+5\right)}$$

Ifodani kengaytiring.

$$\frac{45a^{2}-12a-1}{-18a^{2}-36a-10}$$