Question

Factor 2a 5 b + 2a 4 b 2 + 2a 3 b 3.

2a2b(a2 + ab2+ ab)
2a3b(a2 + ab + b2)
2ab3(a3 + ab + b2)

Answer 1

We can factor out 2a^3b from each term since it is a common factor:

2a^3b(5ab + 2a^2b + 2a^3b)

Then we can factor out another common factor of a^2b:

2a^2b(2ab + a^2 + ab^2)

Therefore, the fully factored expression is:

2a^2b(a^2 + ab + b^2)(5ab + 2a^2b + 2a^3b)