Factor n^21 n2 − 1 n 2 1 Rewrite 1 1 as 12 1 2 n2 − 12 n 2 1 2 Since both terms are perfect squares, factor using the difference of squares formula, a2 −b2 = (ab)(a−b) a 2 b 2 = ( a b) ( a b) where a = n a = n and b = 1 b = 1 There is something about the proof showing that the number of simple graphs with n vertices is 2 ( n 2) I don't quite understand We know that 2 n is the number of subsets of sets with n items So why shouldn't the number of simple graphs generated from n vertices be 2 n instead of 2 ( n 2) For example, if I have a three vertices, the number of simple graphsStep 1 of 4 (a) Write the expression for the signal The signal can be modelled by using a unit step signal, Multiply the unit step signal by 2, known as amplitude scaling The resultant signal is Draw the signal, Comment ( 0) Chapter 3, Problem 23 is solved
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