Question
Factor each trinomial. (Hint: Factor out the GCF first.)$$p^{2}(p+q)+4 p q(p+q)+3 q^{2}(p+q)$$
Step 1
So, we factor out $(p+q)$ from each term: $$ p^{2}(p+q)+4 p q(p+q)+3 q^{2}(p+q) = (p+q)(p^{2}+4pq+3q^{2}) $$ Show more…
Show all steps
Your feedback will help us improve your experience
Cullen Miller and 81 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Factor each trinomial. $p^{2}(p+q)+4 p q(p+q)+3 q^{2}(p+q)$
Factoring
Factoring Trinomials
Factor each trinomial. $$p^{2}(p+q)+4 p q(p+q)+3 q^{2}(p+q)$$
Write in factored form by factoring out the greatest common factor. $q(q+4 p)+p(q+4 p)$
Factoring and Applications
The Greatest Common Factor; Factoring by Grouping
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD