Evaluate the following products without multiplying directly.
$94 \times 97$

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Solution

$94 \times 97 = (100 - 6) (100 - 3)$
$= (100)^{2} + [(- 6) + (- 3)] \times 100 + (- 6) \times (- 3)$
$= 10000 - 900 + 18 = 9118$

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