37. Expand (3a + 2)^2

Solution:

We need to expand the expression (3a + 2)^2. This is a perfect square trinomial of the form (x + y)^2 = x^2 + 2xy + y^2.

In this case, x = 3a and y = 2.

1. Square the first term: (3a)^2 = 9a^2
2. Multiply the two terms and then by 2: 2 * (3a) * (2) = 12a
3. Square the second term: 2^2 = 4

Combining these, we get:

(3a + 2)^2 = 9a^2 + 12a + 4

Answer: 9a^2 + 12a + 4