Step 1 :Multiply the two complex numbers using the distributive property (FOIL method): \((7-5i)(7+5i) = 7(7) + 7(5i) - 5i(7) - 5i(5i)\)
Step 2 :Simplify the result: \(49 + 35i - 35i - 25i^2 = 49 - 25(-1)\)
Step 3 :Combine the real parts: \(49 + 25 = 74\)
Step 4 :\(\boxed{74}\)