Question

Simplified quotient of x+8/x^2÷2x+16/2x^2?

Answer 1

Answer:

1

Step-by-step explanation:

The exprssion to be simplified is,

$\frac{x + 8}{ {x}^{2}} \div \frac{2x + 16}{ {2x}^{2} }$

$= \frac{x + 8}{ {x}^{2}} \times \frac{ {2x}^{2} }{2x + 16}$

$= \frac{ {2x}^{3} + {16x}^{2} }{{2x}^{3} + {16x}^{2}}$

=1