Answer:
[tex] \frac{ {x}^{2} + 10x + 16 }{ {x } {}^{2} + 6x + 8} \div \frac{1}{x + 2} [/tex]
[tex] \frac{ {x}^{2} + 8 x+ 2x + 16}{ {x}^{2} + 4x + 2x + 8} \times (x + 2)[/tex]
[tex] \frac{x(x + 8) + 2 (x + 8)}{x(x + 4) + 2(x + 4)} \times (x + 2)[/tex]
[tex] \frac{( x + 8)(x + 2)}{(x + 2)(x + 4)} \times ( x + 2)[/tex]
[tex] \frac{( x + 8)(x + 2)}{(x + 4)} [/tex]
