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(X²+x+1 )² - ( x²+x) ²=?

Răspuns :

Abc112
[tex]{( {x}^{2} + x + 1) }^{2} - {( {x}^{2} + x)}^{2} [/tex]

[tex] = {x}^{4} + {x}^{2} + 1 + 2 {x}^{3} + 2x + 2 {x}^{2} - {x}^{4} - 2 {x}^{3} - {x}^{2} [/tex]

[tex] = 2 {x}^{2} + 2x + 1[/tex]