Simplify the following using idenitive $(1025)^{2} - (975)^{2}$

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Solution

$a^{2} - b^{2} = (a + b) (a - b)$
$(1025)^{2} - (975)^{2} = (1025 + 975) (1025 - 975)$
$= 2000 \times 50$
$= 1, 00, 000$

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