Упростите выражение 1) (x-1)(x^2+x+1)+(3-x)(9+3x+x^2) 2) (x+2)(x^2-2x+4)-x (x-3)(x+3)

Question

Упростите выражение 1) (x-1)(x^2+x+1)+(3-x)(9+3x+x^2) 2) (x+2)(x^2-2x+4)-x (x-3)(x+3)

Answer 1

1) (x-1)(x²+x+1)+(3-x)(9+3x+x²) = x³-1+3³-x³ = -1+27 = 26
2) (x+2)(x²-2x+4)-x(x-3)(x+3) = x³+2³-x(x²-9) = x³+8-x³+9x = 9x+8