Ex 3.2, 2

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Ex 3.2, 2 Compute the following: (i) [■8(a&b@−b&a)] + [■8(a&b@b&a)] [■8( a&b@−b&a)] + [■8(a&b@b&a)] = [■8(a+a&b+b@b+b&a+a)] = [■8(2a&2b@0&2a)] Ex 3.2,2 Compute the following: (ii) [■8(a2+b2&b2+c2@a2+c2&a2+b2)] + [■8(2ab&2bc@−2ac&−2ab)] [■8(a2+b2&b2+c2@a2+c2&a2+b2)] + [■8(2ab&2bc@−2ac&−2ab)] = [■8(a2+b2+2ab&b2+c2+2bc@a2+c2−2ac&a2+b2−2ab)] = [■8((a+b)2&(b+c)2@(a−c)2&(a−b)2)] Ex 3.2, 2 Compute the following: (iii) [■8(−1&4&−6@8&5&16@2&8&5)] + [■8(12&7&6@8&0&5@3&2&4)] [■8(−1&4&−6@8&5&16@2&8&5)] + [■8(12&7&6@8&0&5@3&2&4)] = [■8(−1+12&4+7&−6+6@8+8&5+0&16+5@2+3&8+2&5+4)] = [■8(11&11&0@16&5&21@5&10&9)] Ex 3.2, 2 Compute the following: (iv) [■8(cos2 x&sin2 x@sin2 x&cos2 x)] + [■8(sin2 x&cos2 x@cos2 x&sin2 x)] [■8(cos2 x&sin2 x@sin2 x&cos2 x)] + [■8(sin2 x&cos2 x@cos2 x&sin2 x)] = [■8(cos2 x+sin2 x&sin2 x+cos2 x@sin2 x+cos2 x&cos2 x+sin2 x)] = [■8(1&1@1&1)]