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Answer:
[tex]g(x).h(x) = (4x + 1) \times ( {x}^{2} - 3) \\ = (4x + 1)( {x}^{2} - 3) \\ = 4 {x}^{3} - 12x + {x}^{2} - 3 \\ \\ { \boxed{ \boxed{g(x).h(x) = 4 {x}^{3} + {x}^{2} - 12x - 3 }}}[/tex]