Graphical Method of Solving Linear Programming Problems
The greatest ...
Question
The greatest divisor of (a−b)(a+b)(a2+b2)(a4+b4)(a8+b8)(a16+b16) is
A
a16−b16
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B
a16+b16
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C
a31−b31
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D
a32−b32
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Solution
The correct option is Da32−b32 (a−b)(a+b)(a2+b2)(a4+b4)(a8+b8)(a16+b16) Using the formula,a2b2=(a+b)(ab) =(a2−b2)(a2+b2)(a4+b4)(a8+b8)(a16+b16) =(a4−b4)(a4+b4)(a8+b8)(a16+b16) =(a8−b8)(a8+b8)(a16+b16) =(a16−b16)(a16+b16) =(a32−b32)