\( p^{3}q^{2}-4-4p^{3}+p^{2} \)

Did you know that factoring expressions involves recognizing patterns? In this case, you can notice that \( p^3 \) appears in both terms! Rearranging the expression gives you \( p^3q^2 - 4p^3 + p^2 - 4 \), making it easier to group terms. One common mistake when working with polynomial expressions is forgetting to collect like terms before factoring. Be sure to thoroughly survey your expression for similar terms; it saves time and helps avoid errors! In this case, rearranging and simplifying can lead to a clearer path for factoring.