Question

x(x+1)(x-1)-(x-2)(x^2+2x+4)

Answer 1

x(x+1)(x-1)-(x+2)(x²-2x-4)=x²+1x+x²-1x+x²-1x+1x-1-x^3-2x²-4x=-x²-4x-1-x^3

Answer 2

Сократить выражение:
$x ( x+1) (x -1 ) - ( x-2 ) ( x^{2} + 2x + 4 ) \\ (a - b) ( a + b) = a^{2} - b^{2} \\ x ( x^{2} - 1) - ( x - 2) ( x^{2} + 2x + 4) \\ x ( x^{2} - 1) - ( x^{3} - 8) \\ x^{3} - x- ( x^{3} - 8) \\ - x + 8$