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Need brief explanation about why false is correct

Need brief explanation about why false is correct-example-1

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We are given the equation:

(a + b)! = a! + b!

Testing the given equation

In order to test it, we will let: a = 2 and b = 3

So, we can rewrite the equation as:

(2+3)! = 2! + 3!

5! = 2! + 3!

We know that (5! = 120) , (2! = 2) and (3! = 6):

120 = 2 + 6

We can see that LHS ≠ RHS,

So, we can say that the given equation is incorrect

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