Question

Вычислите:



100000001^2 – 99999999^2

Answer 1

100000001²-99999999²=400000000
$1) : 10000001 times 100000001 = \ = 10000000200000001 \ 2) : 99999999 times 99999999 = \ = 9999999800000001 \ 3) : 10000000200000001 - \ - 9999999800000001 = \ = 400000000$
Или по формуле: (а+b)(a-b)=a^2-b^2.
(100000001+99999999)(100000001-99999999)=200000000*2=400000000