First, we need to expand the expressions:
(a^2 - 2)(a^2 + 2) = a^4 + 2a^2 - 2a^2 - 4 = a^4 - 4
(2 - a^2)^2 = (2 - a^2)(2 - a^2) = 4 - 2a^2 - 2a^2 + a^4 = a^4 - 4a^2 + 4
Now, let's subtract the second expression from the first expression:
(a^4 - 4) - (a^4 - 4a^2 + 4) = a^4 - 4 - a^4 + 4a^2 - 4= 4a^2 - 8
Therefore, the simplified expression is 4a^2 - 8.
First, we need to expand the expressions:
(a^2 - 2)(a^2 + 2) = a^4 + 2a^2 - 2a^2 - 4 = a^4 - 4
(2 - a^2)^2 = (2 - a^2)(2 - a^2) = 4 - 2a^2 - 2a^2 + a^4 = a^4 - 4a^2 + 4
Now, let's subtract the second expression from the first expression:
(a^4 - 4) - (a^4 - 4a^2 + 4) = a^4 - 4 - a^4 + 4a^2 - 4
= 4a^2 - 8
Therefore, the simplified expression is 4a^2 - 8.