Question

Factor the following polynomial
a^4 b^3-a^3b^4 +a^2b^5

Answer 1

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

Explanation:

Factor the following:

a^2 b^5 - a^3 b^4 + a^4 b^3

Hint: | Factor common terms out of a^2 b^5 - a^3 b^4 + a^4 b^3.

Factor a^2 b^3 out of a^2 b^5 - a^3 b^4 + a^4 b^3:

Answer: a^2 b^3 (b^2 - a b + a^2)