Question

Which multiplication expression is equivalent to x+8/x^2÷2x+16/2x^2?

Answer 1

Option C:
`(x+8)/(x^(2) )` ×
`(2x^(2) )/(2x+16)`

The simplified quotient is 1.

Here is proof

Answer 2

The correct answer is 1.

Explanation:

The given expression is :

`((x+8)/(x^2))/ ((2x+16)/(2x^2))`

Now, solving the given expression in order to obtain its equivalent multiplication expression :

`\implies ((x+8)/(x^2))* ((2x^2)/(2x+16))\\\\\implies (x+8)* (2)/(2(x+8))\\\\\implies 1`

Hence, the multiplication expression which is equivalent to the given expression is 1.

Therefore, The correct answer is 1.