Equivalent Expressions Question 5

For all nonzero values of $w$ , which of the following expressions is equivalent to $\dfrac{4}{w} + \dfrac{2}{w^2}$ ?

\dfrac{2w+1}{w^2}

\dfrac{4w+2}{w^2}

\dfrac{6}{w+w^2}

\dfrac{6}{w^2}

\dfrac{6}{w^3}

Approach

\frac{4}{w}+\frac{2}{w^2}

=\frac{4w}{w^2} + \frac{2}{w^2}

= \boxed{\frac{4w+2}{w^2}}