3/m^2-14m+49+2m/7-m eching

$$\frac { 3 } { m ^ { 2 } - 14 m + 49 } + \frac { 2 m } { 7 - m }$$

Baholash

$$-\frac{2m^{2}-14m-3}{\left(7-m\right)^{2}}$$

Qisqa yechim qadamlari

Faktor: m^{2}-14m+49.

$$\frac{3}{\left(m-7\right)^{2}}+\frac{2m}{7-m}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. \left(m-7\right)^{2} va 7-m ning eng kichik umumiy karralisi \left(m-7\right)^{2}. \frac{2m}{7-m} ni \frac{-\left(m-7\right)}{-\left(m-7\right)} marotabaga ko'paytirish.

$$\frac{3}{\left(m-7\right)^{2}}+\frac{2m\left(-1\right)\left(m-7\right)}{\left(m-7\right)^{2}}$$

\frac{3}{\left(m-7\right)^{2}} va \frac{2m\left(-1\right)\left(m-7\right)}{\left(m-7\right)^{2}} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3+2m\left(-1\right)\left(m-7\right)}{\left(m-7\right)^{2}}$$

3+2m\left(-1\right)\left(m-7\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{3-2m^{2}+14m}{\left(m-7\right)^{2}}$$

\left(m-7\right)^{2} ni kengaytirish.

$$\frac{3-2m^{2}+14m}{m^{2}-14m+49}$$

m ga nisbatan hosilani topish

$$\frac{2\left(52-7m\right)}{\left(7-m\right)\left(m-7\right)^{2}}$$