[tex]\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}[/tex]
The Correct choice is ~ A
[tex]\qquad \sf \dashrightarrow \: 7 {x}^{2} + 3 {y}^{2} - 4x[/tex]
[tex]\large \boxed{ \mathrm{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex]\sf \dashrightarrow \:(12 {x}^{2} - 11y { }^{2} - 13x) - (5 {x}^{2} - 14y { }^{2} - 9x)[/tex]
[tex]\sf \dashrightarrow \:12 {x}^{2} - 11y { }^{2} - 13x- 5 {x}^{2} + 14y { }^{2} + 9x[/tex]
[tex] \sf \dashrightarrow \: 12 {x}^{2} - 5 {x}^{2} - 11y { }^{2} + 14 {y}^{2} - 13x + 9 [/tex]
[tex]\sf \dashrightarrow \: 7 {x}^{2} + 3 {y}^{2} - 4x[/tex]
