15 points give explanation also question in the format of picture attached below.

  (C)  32

Step-by-step explanation:

The difference of 4th powers can be factored as ...

  a^4 -b^4 = (a -b)(a +b)(a^2 +b^2)

For a=13, b=11, this becomes ...

  13^4 -11^4 = (13 -11)(13 +11)(13^2 +11^2)

  = 2(24)(169 +121)

  = 2(8·3)(290) = 2^5 · 3 · 5 · 29

The largest power of 2 that is a factor is 2^5 = 32.

the correct answer is d

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