\(\left(x^2+1\right)\left(x^4-x^2+1\right)\)
\(=x^4x^2+1.x^4-\left(x^2\right)^2+1.x^2-1.x^2+1.1\)
\(=x^6+x^4-x^4+1\)
\(=x^6+1\)
bạn áp dụng HĐT: \(a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)\)
\(\left(x^2+1\right)\left(x^4-x^2+1\right)\)
\(=\left(x^2\right)^3+1^3\)
\(=x^6+1\)