(A) To evaluate $103 \times 97$,we can use the algebraic identity $(a + b)(a - b) = a^2 - b^2$.We can write $103$ as $(100 + 3)$ and $97$ as $(100 - 3

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(A) To evaluate $103 \times 97$,we can use the algebraic identity $(a + b)(a - b) = a^2 - b^2$.We can write $103$ as $(100 + 3)$ and $97$ as $(100 - 3)$.Substituting these values into the identity:$103 \times 97 = (100 + 3)(100 - 3)$$= 100^2 - 3^2$$= 10000 - 9$$= 9991$.