Given,
[tex]h(x) = {6x}^{2} + {4x}^{4} + 7x[/tex]
[tex]g( x) = {6x}^{2} - 4x + {3x}^{4} [/tex]
Therefore,
[tex]h(x) + g(x)[/tex]
[tex]( {6x}^{2} + {4x}^{4} + 7x) + ({6x}^{2} - 4x + {3x}^{4})[/tex]
[tex] {6x}^{2} + {4x}^{4} + 7x + {6x}^{2} - 4x + {3x}^{4}[/tex]
[tex](4 {x}^{4} + 3 {x}^{4} ) + ( {6x}^{2} + {6x}^{2} ) + (7x - 4x)[/tex]
[tex] {7x}^{4} + {12x}^{2} + 3x[/tex]
