[tex] {x}^{2} + 6x + 8 = \\ \\ {x}^{2} + 2x + 4x + 8 = \\ \\ x( \frac{ {x}^{2} }{x} + \frac{2x}{x}) + {2}^{2}( \frac{ {2}^{2} \times x }{ {2}^{2} } + \frac{ {2}^{3} }{ {2}^{2} }) = \\ \\ x( {x}^{2 - 1} + 2) + 4(x + {2}^{3 - 2}) = \\ \\ x(x + 2) + 4(x + 2) = \\ \\ x(x + 2) + {2}^{2}(x + 2) = \\ \\ (x + 2)( \frac{x(x + 2)}{x + 2} + \frac{ {2}^{2}(x + 2) }{x + 2}) = \\ \\ (x + 2)(x + {2}^{2}) = \\ \\ (x + 2)(x + 4) [/tex]
