Question

Simplify the expression. 6+ 2 х 1 2 + A) 2 B) 5 6x + 2 2x+1 D) 6x2 + 2x 2x²+1

Answer 1

Answer:

Option D

`(6x^2+2x)/(2x^2+1)`Explanations:

The given expression is:

`(6+(2)/(x))/(2+(1)/(x^2))`

Simplify the numerator:

`\begin{gathered} 6\text{ + }(2)/(x) \\ (6x+2)/(x) \end{gathered}`

Simplify the denominator:

`\begin{gathered} 2+(1)/(x^2) \\ (2x^2+1)/(x^2) \end{gathered}`

The complete expression becomes:

`((6x+2)/(x))/((2x^2+1)/(x^2))`
`\begin{gathered} (6x+2)/(x)/(2x^2+1)/(x^2) \\ (6x+2)/(x)\text{ }*(x^2)/(2x^2+1) \\ (x(6x+2))/(2x^2+1) \\ (6x^2+2x)/(2x^2+1) \end{gathered}`