First, apply the distributive property:
(2x+2)(2x+3) = 2x(2x + 3) + 2(2x + 3)
Multiplying the terms inside the parentheses:
2x \cdot 2x + 2x \cdot 3 + 2 \cdot 2x + 2 \cdot 3
Simplify each term:
4x^2 + 6x + 4x + 6
Combine like terms:
4x^2 + 10x + 6
Thus, the answer is 4x^2 + 10x + 6