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- 3. Let a, b, n be integers, with n > 0. Prove that a = b (mod n) if and only if a² + b² = 2ab (mod n²).Determine whether the set is a basis for R. If the set is not a basis, determine whether the set is linearly independent and whether the set spans R°. -3 -8 2 Which of the following describe the set? Select all that apply. O A. The set is linearly independent. O B. The set is a basis for R3 O C. The set spans R°. O D. None of the aboveEvaluate the integral. dx (x – 4)(x – 3)(x + 5) | (Use symbolic notation and fractions where needed. Use C for the arbitrary constant.) dx %3D J (x – 4)(x – 3)(x + 5)