Expanding the terms:

(4b-7)^2 = 16b^2 - 56b + 49

(14b-6)^2 = 196b^2 - 168b + 36

Now, adding the two expanded terms:

16b^2 - 56b + 49 + 196b^2 - 168b + 36 - 6b

Combine like terms:

212b^2 - 230b + 85 - 6b

Simplify:

212b^2 - 236b + 85

Therefore, the expression (4b-7)^2 + (14b-6)^2 - 6b simplifies to 212b^2 - 236b + 85.