9m^2-1/3m^2-6mn+9m^2-6m+1/6m-12n eching

$$\frac { 9 m ^ { 2 } - 1 } { 3 m ^ { 2 } - 6 m n } + \frac { 9 m ^ { 2 } - 6 m + 1 } { 6 m - 12 n }$$

Baholash

$$\frac{\left(3m-1\right)\left(m+1\right)\left(3m+2\right)}{6m\left(m-2n\right)}$$

Qisqa yechim qadamlari

Faktor: 3m^{2}-6mn. Faktor: 6m-12n.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3m\left(m-2n\right) va 6\left(m-2n\right) ning eng kichik umumiy karralisi 6m\left(m-2n\right). \frac{9m^{2}-1}{3m\left(m-2n\right)} ni \frac{2}{2} marotabaga ko'paytirish. \frac{9m^{2}-6m+1}{6\left(m-2n\right)} ni \frac{m}{m} marotabaga ko'paytirish.

$$\frac{2\left(9m^{2}-1\right)}{6m\left(m-2n\right)}+\frac{\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)}$$

\frac{2\left(9m^{2}-1\right)}{6m\left(m-2n\right)} va \frac{\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2\left(9m^{2}-1\right)+\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)}$$

2\left(9m^{2}-1\right)+\left(9m^{2}-6m+1\right)m ichidagi ko‘paytirishlarni bajaring.

$$\frac{18m^{2}-2+9m^{3}-6m^{2}+m}{6m\left(m-2n\right)}$$

18m^{2}-2+9m^{3}-6m^{2}+m kabi iboralarga o‘xshab birlashtiring.

$$\frac{12m^{2}-2+9m^{3}+m}{6m\left(m-2n\right)}$$

6m\left(m-2n\right) ni kengaytirish.

$$\frac{12m^{2}-2+9m^{3}+m}{6m^{2}-12mn}$$

Kengaytirish

$$-\frac{9m^{3}+12m^{2}+m-2}{6m\left(2n-m\right)}$$

Qisqa yechim qadamlari

Faktor: 3m^{2}-6mn. Faktor: 6m-12n.

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

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 3m\left(m-2n\right) va 6\left(m-2n\right) ning eng kichik umumiy karralisi 6m\left(m-2n\right). \frac{9m^{2}-1}{3m\left(m-2n\right)} ni \frac{2}{2} marotabaga ko'paytirish. \frac{9m^{2}-6m+1}{6\left(m-2n\right)} ni \frac{m}{m} marotabaga ko'paytirish.

$$\frac{2\left(9m^{2}-1\right)}{6m\left(m-2n\right)}+\frac{\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)}$$

\frac{2\left(9m^{2}-1\right)}{6m\left(m-2n\right)} va \frac{\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{2\left(9m^{2}-1\right)+\left(9m^{2}-6m+1\right)m}{6m\left(m-2n\right)}$$

2\left(9m^{2}-1\right)+\left(9m^{2}-6m+1\right)m ichidagi ko‘paytirishlarni bajaring.

$$\frac{18m^{2}-2+9m^{3}-6m^{2}+m}{6m\left(m-2n\right)}$$

18m^{2}-2+9m^{3}-6m^{2}+m kabi iboralarga o‘xshab birlashtiring.

$$\frac{12m^{2}-2+9m^{3}+m}{6m\left(m-2n\right)}$$

6m\left(m-2n\right) ni kengaytirish.

$$\frac{12m^{2}-2+9m^{3}+m}{6m^{2}-12mn}$$