m-2/m^2+2m-m-1/m^2+4m+4 eching

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

Baholash

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

Qisqa yechim qadamlari

Faktor: m^{2}+2m. Faktor: m^{2}+4m+4.

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

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

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

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

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

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

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

m^{2}+2m-2m-4-m^{2}+m kabi iboralarga o‘xshab birlashtiring.

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

m\left(m+2\right)^{2} ni kengaytirish.

$$\frac{m-4}{m^{3}+4m^{2}+4m}$$

Kengaytirish

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

Qisqa yechim qadamlari

Faktor: m^{2}+2m. Faktor: m^{2}+4m+4.

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

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

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

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

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

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

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

m^{2}+2m-2m-4-m^{2}+m kabi iboralarga o‘xshab birlashtiring.

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

m\left(m+2\right)^{2} ni kengaytirish.

$$\frac{m-4}{m^{3}+4m^{2}+4m}$$