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Suppose \(a\) and \(b\) are different prime numbers greater than 2. How many whole-number divisors are there for the integer \(a(2a+b)-2a^{2}+ab\) ?

 Jan 13, 2022
 #1
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the original equation          a(2a + b) – 2a2 + ab   

 

multiplies out to                   2a2 + ab – 2a2 + ab   

 

reduces to                           2ab   

 

since a and b are prime numbers greater than 2,   

the only divisors of 2ab are 2, a, and b  

 

so the answer is 3 (three)  

.

 Jan 13, 2022
 #2
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Thx for your help, but that was incorrect.

Guest Jan 14, 2022

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