If A # B means the same thing as 2 A- B, then 1 # ( (2 # 3 ) # 4) equals:

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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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