- i. Find the binomial expansion of \(( 2 + x ) ^ { 5 }\), simplifying the terms.
ii. Hence find the coefficient of \(y ^ { 3 }\) in the expansion of \(\left( 2 + 3 y + y ^ { 2 } \right) ^ { 5 }\). - Let \(a = \log _ { 2 } x , b = \log _ { 2 } y\) and \(c = \log _ { 2 } z\).
Express \(\log _ { 2 } ( x y ) - \log _ { 2 } \left( \frac { z } { x ^ { 2 } } \right)\) in terms of \(a , b\) and \(c\).