1. a) Simplify the following expression in Z/13Z.((11) ̅- (3) ̅ ) · ((15) ̅+ 9 ̅)^2 · ((4) ̅+ (6) ̅ ) b) Simplify the following expression in Z/12Z.((15) ̅- (4) ̅ ) · ((8) ̅+ 7 ̅)^2 · ((3) ̅+ (11) ̅ ) c) Simplify the following expression in Z/15Z.((14) ̅- (3) ̅ ) · ((16) ̅+ 9 ̅) · ((25) ̅+ (33) ̅ )^2 d) Simplify the following expression in Z/12Z.((13) ̅- (5) ̅ ) · ((18) ̅+ 11 ̅) · ((8) ̅+ (33) ̅ )^2

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1. a) Simplify the following expression in Z/13Z.((11) ̅- (3) ̅ ) · ((15) ̅+ 9 ̅)^2 · ((4) ̅+ (6) ̅ )

b) Simplify the following expression in Z/12Z.((15) ̅- (4) ̅ ) · ((8) ̅+ 7 ̅)^2 · ((3) ̅+ (11) ̅ )

c) Simplify the following expression in Z/15Z.((14) ̅- (3) ̅ ) · ((16) ̅+ 9 ̅) · ((25) ̅+ (33) ̅ )^2

d) Simplify the following expression in Z/12Z.((13) ̅- (5) ̅ ) · ((18) ̅+ 11 ̅) · ((8) ̅+ (33) ̅ )^2

 

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