Question

Reducir: (x²-x+1)³-(x²+x-1)³+2(x-1)³+ 6x^5

Answer 1

x-1 = a
(x²-x+1)³-(x²+x-1)³+2(x-1)³+ 6x^5
(x²-a)³-(x²+a)³+2a³+ 6x^5 X^6 –a^3 -3x^4a +3x^2 a^2 – x^6 –a^3 - 3x^4a – 3x^2 a^2 + 2a^3 +6x^5
= -3x^4a - 3x^4a +6x^5 -6x^4 (x-1) + 6x^5
= -6x^5 + 6x^4 + 6x^5
= 6x^4