AMC 12 2023 A Problem 23

Past Contests AMC 12 AMC 12A - 2023
1

How many ordered pairs of positive real numbers (a, b) satisfy the equation

(1+2 a)(2+2 b)(2 a+b)=32 a b?

Answer Choices
A. 0
B. 1
C. 2
D. 3
E. an infinite number