=[(x+1)(x+4)][(x+2)(xc+3)]+1=[(x²+5x)+4][(x²+5x)+6]+1=(x²+5x)²+10(x²+5x)+24+1=(x²+5x)²+10(x²+5x)+25=(x²+5x+5)²
(x+1)(x+2)(x+3)(x+4)+1=[(x+1)(x+4)][(x+2)(x+3)]+1=(x^2+5x+4)(x^2+5x+6)+1令x^2+5x=t=(t+4)(t+6)+1=t^2+10t+25=(t+5)^2=(x^2+5x+5)^2