Simplify the following expression:
(5(\sqrt{5}(5 - 2)\sqrt{2})2) (5(\sqrt{5}(5 + 2)\sqrt{2})2)
= a2 - b2
= (5)2−(2)2(\sqrt{5})^2 - (\sqrt{2})^2(5)2−(2)2 [∵ (a + b)(a - b) = (a)2 - (b)2]
= 5 - 2
= 3
Hence, (5(\sqrt{5}(5 - 2)\sqrt{2})2) (5(\sqrt{5}(5 + 2)\sqrt{2})2) = 3
