(A) To evaluate $76 \times 82$ without direct multiplication,we can express the numbers as $(79 - 3)$ and $(79 + 3)$.Using the algebraic identity $(a

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(A) To evaluate $76 \times 82$ without direct multiplication,we can express the numbers as $(79 - 3)$ and $(79 + 3)$.Using the algebraic identity $(a - b)(a + b) = a^2 - b^2$,where $a = 79$ and $b = 3$:$76 \times 82 = (79 - 3)(79 + 3)$$= 79^2 - 3^2$$= 6241 - 9$$= 6232$.