Question

aratati ca (x-1)(x2-2x+1x)-x+1=x(x-1)(x-2) pentru orice x real

Answer 1

$(x - 1)( {x}^{2} - 2x + 1) - x + 1 = x(x - 1)(x - 2)$

$(x - 1)( {x}^{2} - 2x + 1) - (x - 1) = x(x - 1)(x - 2)$

$(x - 1)( {x}^{2} - 2x + 1 - 1) = x(x - 1)(x - 2)$

$(x - 1)( {x}^{2} - 2x) = x(x - 1)(x - 2)$

$(x - 1)x(x - 2) = x(x - 1)(x - 2)$

$x(x - 1)(x - 2) = x(x - 1)(x - 2)$

Answer 2

sau puteai sa desfaci pur si simplu parantezele :D