By definition of #,
2 # 3 = 2•2 - 3 = 4 - 3 = 1
(2 # 3) # 4 = 1 # 4 = 2•1 - 4 = 2 - 4 = -2
1 # ((2 # 3) # 4) = 1 # (-2) = 2•1 - (-2) = 2 + 2 = 4
The 1 # ( (2 # 3 ) # 4) equals to 4.
Given that,
Based on the above information, the calculation is as follows:
By definition of #,
= 2 # 3
= 2(2) - 3
= 4 - 3
= 1
Now
=(2 # 3) # 4
= 1 # 4
= 2(1) - 4
= 2 - 4
= -2
Now
=1 # ((2 # 3) # 4)
= 1 # (-2)
= 2(1) - (-2)
= 2 + 2
= 4
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