Positive number x, y and z satisfy
xyz = 10⁸¹ and (log₁₀ x) (log₁₀ yz) + (log₁₀ y) (log₁₀ z) = 468. Then the value of (log₁₀ x)² + (log₁₀ y)² + (log₁₀ z)² is:

A. 5625
B. 5652
C. 5265
D. 5526