Question

x(x-2)^2 + 2 (3x ^ 2 - 1 ) -5x = (x-1)(x+1)(x+2)

Answer 1

sa demonstrezi ca e asa?
pai uite cum: x$( x-2)^{2}$+2($3x^{2}$-1)-5x=x($x^{2}$-4x+4)+$6x^{2}$-2-5x=$x^{3}$-4$x^{2}$+4x+6$x^{2}$-2-5x=$x^{3}$+2$x^{2}$-x-2

iar (x-1)(x+1)(x+2)=($x^{2}$-1)(x+2)=$x^{3}$-x+2$x^{2}$-2=$x^{3}$+2$x^{2}$-x-2
=> sunt egale