What is HCF of a^4+2a^3+3a^2+2a+1 and a^6-2a^3+1?
- A. a^3+3a^2+2a+1
- B. a^3+a^2+a+1
- C. (a^2+a+1)^2 ✓
- D. (a^2-a+1)^2
Correct Answer: C. (a^2+a+1)^2
Explanation
Factor the expressions: a^4+2a^3+3a^2+2a+1 = (a^2+a+1)^2. The second expression is a^6-2a^3+1 = (a^3-1)^2 = (a-1)^2(a^2+a+1)^2. The highest common factor is (a^2+a+1)^2.
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