Question

Can someone please help me?

Answer 1

9514 1404 393

Answer:

  $\dfrac{5}{2}\left(k-\dfrac{4}{5}\right)$

Step-by-step explanation:

When you factor out 5/2, each term gets divided by 5/2. Equivalently, each term is multiplied by 2/5.

  $\dfrac{5}{2}k-2=\dfrac{5}{2}\cdot\dfrac{2}{5}\left(\dfrac{5}{2}k-2\right)=\dfrac{5}{2}\left(\dfrac{2}{5}\cdot\dfrac{5}{2}k-\dfrac{2}{5}\cdot2\right)\\\\ =\boxed{\dfrac{5}{2}\left(k-\dfrac{4}{5}\right)}$