I just started learning gr. 12 discrete math a few days and I’m already having trouble with two very similar questions… Using deductive proof 1) Prove that if 4 is subtracted from the square of an integer greater than 3, the result is a composite number. 2) Prove that if 25 is subtracted from the square of an odd integer greater than 5, the resulting number is always divisible by 8. I started 1) by x2-4 = composite number, x > 3 I realized I could factor it down to (x-2)(x+2) = composite number, but I got lost from there. Then I started 2) in a similar manner by (x2-25)/8. However I’m not sure if the equation is correct so I stopped there. As you can tell, I’m not exactly the best at deductive proving. So thanks in advance.