a^2 + (5 - a) (5 + a) - 1

Expanding the terms of the expression, we have:

a^2 + (5 - a)(5 + a) - 1
= a^2 + (5^2 - a^2) - 1
= a^2 + 25 - a^2 - 1
= (a^2 - a^2) + (25 - 1)
= 0 + 24
= 24

So, a^2 + (5 - a)(5 + a) - 1 simplifies to 24.