Question

Разложите на множители : x^4+x^2+1

Answer 1

$x^4+x^2+1=x^4+x^2+1+x^2-x^2=x^4+2x^2+1-x^2=\\(x^2)^2+2*x^2*1+1^2-x^2=(x^2+1)^2-x^2=\\(x^2+1+x)(x^2+1-x)=(x^2+x+1)(x^2-x+1)$