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^2 76^ + ^2 16^ - 76^ 16^ is equal to

Options

  1. A0
  2. B1 2
  3. C- 1 4
  4. D3 2

Correct answer

D. 3 2

Step-by-step solution

aligned & ^2 76^ + ^2 16^ - 76^ 16^ & = ^2 76^ +1- ^2 16^ - 1 2 2 76^ 16^ & =1+ (76^ +16^ ) (76^ -16^ ) & - 1 2 ( 92^ + 60^ ) & =1+ 1 2 92^ - 1 2 92^ - 1 4 & =1- 1 4 = 3 4 aligned

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