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Defined that x@y = x + y - x2 y, then 5@(3@1) = – 125 130 -130 120 None of these

Question

Defined that x@y = x + y - x^2 y, then 5@(3@1) =

– 125
130
-130
120
None of these

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Solution

To solve this problem, we first need to solve the operation inside the parentheses, which is 3@1.

According to the given definition of the operation @, we have:

3@1 = 3 + 1 - 3^2*1 = 4 - 9 = -5

Now, we substitute this result into the original expression, which becomes 5@(-5).

Again, using the definition of the operation @, we have:

5@(-5) = 5 + (-5) - 5^2*(-5) = 0 + 125 = 125

So, the answer is 125. However, this option is not available in the given choices. Therefore, the correct answer is "None of these".

This problem has been solved

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