Question Number 176347 by cortano1 last updated on 16/Sep/22
$$\left(\mathrm{2}+\frac{\mathrm{1}}{\mathrm{4}}\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{5}} \left(\mathrm{2}−\frac{\mathrm{1}}{\mathrm{3}}\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{5}} \\ $$$$\mathrm{find}\:\mathrm{coefficient}\:\mathrm{x}^{\mathrm{2}} \\ $$
Answered by mr W last updated on 16/Sep/22
$$\mathrm{5}×\frac{\mathrm{1}}{\mathrm{4}}×\mathrm{2}^{\mathrm{4}} ×\mathrm{2}^{\mathrm{5}} +\mathrm{5}×\left(−\frac{\mathrm{1}}{\mathrm{3}}\right)×\mathrm{2}^{\mathrm{4}} ×\mathrm{2}^{\mathrm{5}} \\ $$$$=−\frac{\mathrm{640}}{\mathrm{3}} \\ $$
Commented by cortano1 last updated on 16/Sep/22
$$\mathrm{thanks}\:\mathrm{sir} \\ $$