7m^4/7m+2+3m^2/m+4= eching

$$\frac { 7 m ^ { 4 } } { 7 m + 2 } + \frac { 3 m ^ { 2 } } { m + 4 } =$$

Baholash

$$\frac{m^{2}\left(7m^{3}+28m^{2}+21m+6\right)}{\left(m+4\right)\left(7m+2\right)}$$

Qisqa yechim qadamlari

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 7m+2 va m+4 ning eng kichik umumiy karralisi \left(m+4\right)\left(7m+2\right). \frac{7m^{4}}{7m+2} ni \frac{m+4}{m+4} marotabaga ko'paytirish. \frac{3m^{2}}{m+4} ni \frac{7m+2}{7m+2} marotabaga ko'paytirish.

$$\frac{7m^{4}\left(m+4\right)}{\left(m+4\right)\left(7m+2\right)}+\frac{3m^{2}\left(7m+2\right)}{\left(m+4\right)\left(7m+2\right)}$$

\frac{7m^{4}\left(m+4\right)}{\left(m+4\right)\left(7m+2\right)} va \frac{3m^{2}\left(7m+2\right)}{\left(m+4\right)\left(7m+2\right)} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{7m^{4}\left(m+4\right)+3m^{2}\left(7m+2\right)}{\left(m+4\right)\left(7m+2\right)}$$

7m^{4}\left(m+4\right)+3m^{2}\left(7m+2\right) ichidagi ko‘paytirishlarni bajaring.

$$\frac{7m^{5}+28m^{4}+21m^{3}+6m^{2}}{\left(m+4\right)\left(7m+2\right)}$$

\left(m+4\right)\left(7m+2\right) ni kengaytirish.

$$\frac{7m^{5}+28m^{4}+21m^{3}+6m^{2}}{7m^{2}+30m+8}$$

Omil

$$\frac{m^{2}\left(7m^{3}+28m^{2}+21m+6\right)}{\left(m+4\right)\left(7m+2\right)}$$