Question Number 204318 by MASANJAJJ last updated on 12/Feb/24
Answered by Rasheed.Sindhi last updated on 12/Feb/24
$$\bullet{T}\left({U}+{V}\right)={T}\left(\:\left(−\mathrm{12},\mathrm{12}\right)+\left(\mathrm{6},−\mathrm{16}\right)\:\right) \\ $$$$\:\:\:\:\:={T}\left(−\mathrm{6},−\mathrm{4}\right)=\left(−\mathrm{6}+\mathrm{8},−\mathrm{4}+\mathrm{7}\right)=\left(\mathrm{2},\mathrm{3}\right) \\ $$$$\: \\ $$$$\bullet{T}\left({U}\right)+{T}\left({V}\right)={T}\left(−\mathrm{12},\mathrm{12}\right)+{T}\left(\mathrm{6},−\mathrm{16}\right) \\ $$$$\:\:\:=\left(−\mathrm{12}+\mathrm{8},\mathrm{12}+\mathrm{7}\right)+\left(\mathrm{6}+\mathrm{8},−\mathrm{16}+\mathrm{7}\right) \\ $$$$\:\:\:=\left(−\mathrm{4},\mathrm{19}\right)+\left(\mathrm{14},−\mathrm{9}\right)=\left(\mathrm{10},\mathrm{10}\right) \\ $$