Question

Simplify the following expression

Answer 1

Answer: The correct option is (B)
`(2x+1)/(2x^2).`

Step-by-step explanation: We are given to simplify the following expression :

`E=((x)/(4)+(1)/(8))/((x^2)/(4)).`

We will be using the following property :

`((a)/(b))/((c)/(d))=(a)/(b)*(d)/(c).`

The simplification is as follows :

`E\\\\\\=((x)/(4)+(1)/(8))/((x^2)/(4))\\\\\\=((2x+1)/(8))/((x^2)/(4))\\\\\\=(2x+1)/(8)* (4)/(x^2)\\\\\\=(2x+1)/(2x^2).`

Thus, the required simplified form of the given expression is
`(2x+1)/(2x^2).`

Option (B) is CORRECT.

Answer 2

B

Explanation:

x/4 + 1/8

------------------

x^2/4

Multiply the top and bottom by 8 to clear the fractions

x/4 + 1/8 8

------------------ *---------------

x^2/4 8

8*(x/4 + 1/8)

------------------

8*x^2/4

2x+1

------------------

2x^2