Question

qual o resultado de:
1001² - 999² ​

Answer 1

$1001^2-999^2$

É uma diferença de quadrados

$a^2-b^2=(a-b)\cdot(a+b)$

$1001^2-999^2=(1001-999)\cdot(1001+999)$

$1001^2-999^2=2\cdot2000$

$1001^2-999^2=4000$

Answer 2

$\mathsf{1001^2-999^2=(1001-999)(1001+999)}\\\mathsf{2\cdot2000}\\=\large\boxed{\boxed{\boxed{\boxed{\mathsf{4000}}}}}$