Упростите выражение: x(x - 1)(x + 1) – (x – 2)(x² + 2x + 4).

Question

Упростите выражение: x(x - 1)(x + 1) – (x – 2)(x² + 2x + 4).

Answer 1

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

Answer 2

x(x - 1)(x + 1) – (x – 2)(x² + 2x + 4) =

= x·(x²-1) - (x – 2)(x+2)² =

= x³ - x - (x²-4)(x+2) =

= x³ - x - (x³-4x+2x²-8) =

= x³ - x - x³ + 4x - 2x² + 8 =

= - 2x² + 3x + 8