5) \(\left(x^2-5x+1\right)^2+\left(5x-1\right)^2+2\left(5x-1\right)\left(x^2-5x+1\right)\)
\(=\left(x^2-5x+1\right)^2+2\left(5x-1\right)\left(x^2-5x+1\right)+\left(5x-1\right)^2\)
\(=\left[\left(x^2-5x+1\right)+\left(5x-1\right)\right]^2\)
\(=\left(x^2-5x+1+5x-1\right)^2\)
\(=\left(x^2\right)^2\)
\(=x^4\)
