Answer:
See below.
Step-by-step explanation:
For each problem, the first line below the problem is the result of factoring and is bold. If there is a second bold line below, then it's factored and simplified.
Problem 1.
5(a + 3)^2 - (a + 3) =
= (a + 3)[5(a + 3) - 1]
= (a + 3)[5a + 15 - 1]
= (a + 3)(5a + 14)
Problem 2.
p^2 - 6 - q(p^2 - 6)^2 =
= (p^2 - 6)[1 - q(p^2 - 6)]
Problem 3.
m(m + n) - 3m(m + n)^2 =
= m(m + n)[1 - 3(m + n)]
= m(m + n)[1 - 3m - 3n]
