The expression \(a^4 + a^2 + 1\) cannot be factored further over the real numbers. However, it can be factored over the complex numbers using the factorization of the sum of cubes:
\[ a^4 + a^2 + 1 = (a^2 + a + 1)(a^2 - a + 1) \]
This factorization involves the sum and difference of cubes, which is a common technique in algebraic factorization.
Answers & Comments
Answer:
The expression \(a^4 + a^2 + 1\) cannot be factored further over the real numbers. However, it can be factored over the complex numbers using the factorization of the sum of cubes:
\[ a^4 + a^2 + 1 = (a^2 + a + 1)(a^2 - a + 1) \]
This factorization involves the sum and difference of cubes, which is a common technique in algebraic factorization.
Answer:
this question cannt be solves becuse we cant add any power of variable. This question maye wrong.