To simplify the expression 8b + 15/(b + 17)^2 * 6^2 - 495 / (8b + 41), we can follow the order of operations and combine like terms where possible.

First, let's simplify the expression step by step:

Perform the operation inside the parentheses:
= 8b + 15/(b + 17)^2 * 36 - 495 / (8b + 41)

Simplify the exponent:
= 8b + 15/(b^2 + 34b + 289) * 36 - 495 / (8b + 41)

Multiply 15 by 36:
= 8b + 540/(b^2 + 34b + 289) - 495 / (8b + 41)

Combine like terms for the final simplified expression:
= 8b + (540 (8b + 41) - 495 (b^2 + 34b + 289)) / (b^2 + 34b + 289)

So the simplified expression is:
= (4320b + 22260 - 495b^2 - 16830b - 145215) / (b^2 + 34b + 289)
= (-495b^2 - 124b - 122955) / (b^2 + 34b + 289)