Answer:
1
Step-by-step explanation:
The exprssion to be simplified is,
[tex] \frac{x + 8}{ {x}^{2}} \div \frac{2x + 16}{ {2x}^{2} } [/tex]
[tex] = \frac{x + 8}{ {x}^{2}} \times \frac{ {2x}^{2} }{2x + 16}[/tex]
[tex] = \frac{ {2x}^{3} + {16x}^{2} }{{2x}^{3} + {16x}^{2}} [/tex]
=1
