Let (*) be a binary operation on a natural number defined by a * b = a - b + (ab)\(^2\), then find 3 * 5

  • A 223
  • B 232
  • C 32
  • D -232

The correct answer is A. 223

The binary operation * is defined by a * b = a - b + (ab)\(^2\). 

Substituting a = 3 and b = 5 into the operation, we get:

3 * 5 = 3 - 5 + (3*5)\(^2\) = -2 + 225 = 223

Therefore, 3 * 5 = 223. 

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