Chapter 1, &#35;9:  Suppose that u,v are integers and that (u,v) = 1.  If u divides n and v divides n, show that uv divides n.  <br>Show that this is false if (u,v) is not equal to 1.
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Chapter 1, &#35;10: Suppose that (u,v) = 1.  Show that (u + v, u- v) is either 1 or 2.
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Chapter 1, &#35;21: Prove that ord_p(a + b) is greater than or equal to the minimum of ord_p(a) and ord_p(b).  <br>Show that equality holds if ord_p(a) is not equal to ord_p(b)