Question

Simplify
p^2+pq+3qr+3pr
with steps

Answer 1

Answer: (p+q)(p+3r)

Explanation:
p²+pq+3qr+3pr

Do the grouping p²+pq+3qr+3pr=(p²+pq)+(3qr+3pr), and factor out p in the first and 3r in the second group.

p(p+q)+3r(p+q)

Factor out common term p+q by using distributive property.

(p+q)(p+3r)