a3-b3=(a-b)(a2+ab+b2)a3+b3=(a+b)(a2-ab+b2)
a³-b³=(a-b)(a²+ab+b²)a³+b³=(a+b)(a²-ab+b²) (X+1)³-(X-1)³=(x+1-x+1)[(x+1)²-(x+1)(x-1)+(x-1)²]=2[(x²+2x+1)-(x²-1)+(x²-2x+1)]=2[x²+2x+1-x²+1+x²-2x+1]=2[x²+3]=2x²+6