Mathematics, 11.10.2021 23:30 Calumworthy6046

1. Let the numbers $a=16^{2} \cdot 5^{4}-20^{4}+8$ and $b=49^{2} \cdot 4^{2}-14^{4}+7$$
Calculate:

$a) $S=(a-b)^{1}+(a-b)^{2}+(a-b)^{3}+\ldots+(a-b)^{2003}\\b) $P=(a-b)^{1} \cdot(a-b)^{2} \cdot(a-b)^{3} \cdot \ldots \cdot(a-b)^{2003}$$

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1. Let the numbers $a=16^{2} \cdot 5^{4}-20^{4}+8$ and $b=49^{2} \cdot 4^{2}-14^{4}+7$$
Calculate: