Establish each of the assertions below:(a) If a is an arbitrary integer, then 61 a(a2 +
Chapter 2, Problem 19(choose chapter or problem)
Establish each of the assertions below:(a) If a is an arbitrary integer, then 61 a(a2 + 11).(b) If a is an odd integer, then 241 a(a2 - 1).[Hint: The square of an odd integer is of the form 8k + 1.](c) If a and bare odd integers, then 81 (a2 - b2).(d) If a is an integer not divisible by 2 or 3, then 241(a2+23).(e) If a is an arbitrary integer, then 360 I a2(a2 - l)(a2 - 4).
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