Which expression is a factor of
9x +12 xy + 4y??

Answer:
3x³ + 2y
Step-by-step explanation:
We use sum of squares to factor out the expression:
(3x³ + 2y)²
In that case, we look for the answer choice with 3x³ + 2y as a factor. We should get the 3rd Choice as our answer.
Answer:
C. 3x^3 + 2y
Step-by-step explanation:
9x^6 + 12x^3y + 4y^2
9x^6 = (3x^3)^2
4y^2 = (2y)^2
So far it looks like the trinomial can be the square of a binomial. We need to check the middle term.
2 * 3x^3 * 2y = 12x^3y
The middle term checks out, so this trinomial is a perfect square trinomial.
9x^6 + 12x^3y + 4y^2 = (3x^3 + 2y)^2
Answer: C. 3x^3 + 2y