141. Упростите выражение: 1) (x - 1)(x² + x + 1) + (3 - x)(9 + 3x + x²); 2) (x + 2)(x²-2x + 4) - x(x - 3)(x + 3); 3) a(a + 2)(a – 2) - (а – 4)(a² + 4a + 16); 4) (a + 1)(a - 1)(a² – a + 1)(a² + a + 1)(a + 1)(a12 + + 1)(a24 + 1).

141. Упростите выражение:

1) \( (x - 1)(x^2 + x + 1) + (3 - x)(9 + 3x + x^2) = x^3 - 1 + 27 - x^3 = 26 \) 2) \( (x + 2)(x^2 - 2x + 4) - x(x - 3)(x + 3) = x^3 + 8 - x(x^2 - 9) = x^3 + 8 - x^3 + 9x = 9x + 8 \) 3) \( a(a + 2)(a - 2) - (a - 4)(a^2 + 4a + 16) = a(a^2 - 4) - (a^3 - 64) = a^3 - 4a - a^3 + 64 = -4a + 64 \) 4) \( (a + 1)(a - 1)(a^2 - a + 1)(a^2 + a + 1)(a^6 + 1)(a^{12} + 1)(a^{24} + 1) = (a^2 - 1)(a^4 + a^2 + 1 - a^3 - a - a^2)(a^6 + 1)(a^{12} + 1)(a^{24} + 1) = (a^2 - 1)(a^4 - a^3 - a + 1)(a^6 + 1)(a^{12} + 1)(a^{24} + 1) = (a^6-1)(a^6 + 1)(a^{12} + 1)(a^{24} + 1) = (a^{12}-1)(a^{12} + 1)(a^{24} + 1) = (a^{24}-1)(a^{24} + 1) = a^{48} - 1 \)