Question

0×1×2×3+1=1=1^2 1×2×3×4+1=25=5^2 2×3×4×5+1=121=11^2 3×4×5×6+

Answer 1

答案：对

证明：

(x-1)x(x+1)(x+2)+1

=(x^2-1)(x^2+2x)+1

=x^4-x^2+2x^3-2x+1

=x^4+2(x^2)(x-1)+x^2-2x+1

=(x^2)^2+2(x^2)(x-1)+(x-1)^2

=(x^2+x-1)^2