Question

alguém me ajuda com esse ?

Answer 1

$\dfrac{(1001)^4-(999)^4}{(1001+999)^2-(2*1001*999)} \to\\\\\\ \dfrac{1.004.006.004.001-996.005.996.001}{2000^2-1.999.998}\to\\\\\\ \dfrac{8.000.008.000}{4.000.000-1.999.998}\to\\\\\\ \dfrac{8.000.008.000}{2.000.002}\to\\\\\\ \large\boxed{4000} \\\\\\\\ Letra~~C)~4000$