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Question

Which one of the following is the common factor  of (`47^43` + `43^43`) and  (`47^47` + `43^47`) ?


Options:
A .  ( 47 - 43)
B .  ( 47 + 43)
C .  (`47^43` +`43^43`)
D .  none of these
Answer: Option B

When n is odd, (`x^n`  +` a^n`) is always divisible by (`x` + a ).

`therefore`  Each one of (`47^43`  + `43^43`) and (`47^47`  + ` 43^47`)  is divisible by (47  + 43) .



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