Question

Factor 18p^2 + 48pq + 32q^2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To factor 18p^2 + 48pq + 32q^2, we look for common factors among the three terms:

18p^2 + 48pq + 32q^2
The greatest common factor among the three terms is 2:

2(9p^2 + 24pq + 16q^2)

Now, we need to factor the trinomial inside the parentheses. We can look for common factors among its three terms:

9p^2 + 24pq + 16q^2
The greatest common factor among the three terms is 1:

2(9p^2 + 24pq + 16q^2)

Now, we can factor the trinomial using the factoring method for trinomials of the form ax^2 + bx + c:

2(3p + 4q)(3p + 4q)

Therefore, the factored form of 18p^2 + 48pq + 32q^2 is 2(3p + 4q)(3p + 4q), or simply 2(3p + 4q)^2.