x(x+1)(x+2)(x+3)+1
= [x(x+3)]*[(x+1)(x+2)]+1
=(x^2+3x)*(x^2+3x+2)+1
=(x^2+3x)^2+2(x^2+3x)+1
=(x^2+3x+1)^2
x(x+1)(x+2)(x+3)+1
=x(x+3)[(x+1)(x+2)]+1
=(x²+3x)(x²+3x+2)+1
=(x²+3x)²+2(x²+3x)+1
=(x²+3x+1)²
=[x+(3+√5)/2]²[x+(3-√5)/2]²
x(x+1)(x+2)(x+3)+1
=(x²+3x)(x²+3x+2)+1
=(x²+3x)²+2(x²+3x)+1
=(x²+3x+1)²
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