Question

x(x+1)( x+2)(x+3)+1

 

Answer 1

x(x+1)(x+2)(x+3)+1

\(=\left(x^2+3x\right)\left(x^2+3x+2\right)+1\)

\(=\left(x^2+3x\right)^2+2\left(x^2+3x\right)+1\)

\(=\left(x^2+3x+1\right)^2\)