Answer:
a(a + b)(a + 1)
Step-by-step explanation:
a^3 + a^2b + a^2 + ab = a^3 + a^2 + a^2b +ab =
a^2(a + 1) + ab(a + 1) = (a^2 + ab)(a + 1)
= a(a + b)(a + 1)