Factor 3a^2 +3ab^2+2a^2b+2b^3?

Answer 1

3a^2(1+b)+2(a^2b+b^3)

Answer 2

3a² + 2a²b + 3ab² + 2b^3 =
a²(3 + 2b) + b²(3a + 2b)

so it doesn't factor, unless that first a² should have been a^3. in that case

3a^3 + 2a²b + 3ab² + 2b^3 =
a²(3a + 2b) + b²(3a + 2b) =
(a² + b²)(3a + 2b)