Question

Can anyone please help me out with step by step directions on how to solve this.

Answer 1

Recall that the greatest common factor between two polynomial expressions is the largest positive factor that divides each of the polynomial expressions.

Notice that:

`\begin{gathered} 50n^2=10*5n^2, \\ 45n^3=9n*5n^2. \end{gathered}`

Therefore the greatest common factor of the given monomials is:

`5n^2.`

Answer:

`5n^2.`