High school inequality comparison size Given that a ≠ 0, compare the size of (a ^ 2 - √ 2A + 1) (a ^ 2 - √ 2A + 1) and (a ^ 2 + A + 1) (a ^ 2-A + 1) To write simplification, I forgot how to write simplification~

High school inequality comparison size Given that a ≠ 0, compare the size of (a ^ 2 - √ 2A + 1) (a ^ 2 - √ 2A + 1) and (a ^ 2 + A + 1) (a ^ 2-A + 1) To write simplification, I forgot how to write simplification~

(a^2-√2a+1)(a^2-√2a+1)=(a^2+1)^2-2a^2
(a^2+a+1)(a^2-a+1)=(a^2+1)^2-a^2
(a^2-√2a+1)(a^2-√2a+1)-(a^2+a+1)(a^2-a+1)=-a^2
Because a ≠ 0, so (a ^ 2 - √ 2A + 1) (a ^ 2 - √ 2A + 1)