Mathematics

Mathematics

Problem

If a⊗b=a+ba−ba \otimes b = \frac{a+b}{a-b} , then (6⊗4)⊗3=(6 \otimes 4) \otimes 3 =
Intuitive explanation

The key here is understanding that ⊗\otimes is just a custom operation—you apply the definition mechanically, working from the inside out. First evaluate 6⊗46 \otimes 4 using the formula, then treat that result as your new aa and combine it with 33 using the same rule. It's a good reminder that unfamiliar symbols are just instructions for how to combine two numbers.

Intuitive explanation

The key here is understanding that ⊗\otimes is just a custom operation—you apply the definition mechanically, working from the inside out. First evaluate 6⊗46 \otimes 4 using the formula, then treat that result as your new aa and combine it with 33 using the same rule. It's a good reminder that unfamiliar symbols are just instructions for how to combine two numbers.

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