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

$\frac{6x^2+2x}{2x^2+1}$Explanations:

The given expression is:

$\frac{6+\frac{2}{x}}{2+\frac{1}{x^2}}$

Simplify the numerator:

$\begin{gathered} 6\text{ + }\frac{2}{x} \\ \frac{6x+2}{x} \end{gathered}$

Simplify the denominator:

$\begin{gathered} 2+\frac{1}{x^2} \\ \frac{2x^2+1}{x^2} \end{gathered}$

The complete expression becomes:

$\frac{\frac{6x+2}{x}}{\frac{2x^2+1}{x^2}}$$\begin{gathered} \frac{6x+2}{x}\div\frac{2x^2+1}{x^2} \\ \frac{6x+2}{x}\text{ }\times\frac{x^2}{2x^2+1} \\ \frac{x(6x+2)}{2x^2+1} \\ \frac{6x^2+2x}{2x^2+1} \end{gathered}$