Question

विस्तार करा: $\bigg \lgroup 2m+\frac{1}{5} \bigg \rgroup^3$

Answer 1

विस्तार करा: $\bigg \lgroup 2m+\frac{1}{5} \bigg \rgroup^3$

विस्तार सूत्र:

${(a+b)}^{3} = {a}^{3} + {b}^{3} + 3 {a}^{2} b + 3a {b}^{2} \\ \\ a=2m\\ \\ b=\frac{1}{5} \\ \\ {\bigg(2m+\frac{1}{5}\bigg)}^{3} = {(2m)}^{3} + {\bigg(\frac{1}{5}}\bigg)^{3} + 3 {(2m)}^{2} \bigg(\frac{1}{5}\bigg)+ 3(2m) {\bigg(\frac{1}{5}\bigg)}^{2} \\ \\ = 8{m}^{3}+ \frac{1}{125} + \frac{12m^{2}}{5}+ \frac{6m}{25}$

विस्तार:
$\\ {\bigg(2m+\frac{1}{5}\bigg)}^{3} =8{m}^{3}+ \frac{1}{125} + \frac{12m^{2}}{5}+ \frac{6m}{25}$