Given 2A + 3B = 6, find the minimum value of a ^ 2 + B ^ 2? Help to use the basic inequality

Given 2A + 3B = 6, find the minimum value of a ^ 2 + B ^ 2? Help to use the basic inequality

(a^2 b^2)(4 9)≥(2a 3b)^2
∴a^2 b^2≥36/13
The minimum value is 36 / 13
Written by Cauchy inequality