Multiply x2 + x + 1 by x2 – x + 1

Multiply x2 + x + 1 by x2 – x + 1
  • A.
    x4 – x + x2
  • B.
    x4 – x2 + x2
  • C.
    x4 + x2 + 1
  • D.
    x4 + x2
Correct Answer: Option C
Explanation

(x2 + x + 1)( x2 – x + 1)
= x2(x2 + x + 1) – x(x2 + x + 1) + (x3 + x + 1)
= x4 – x3 + x2 + x3 – x2 – x + 1
= x4 + x2 + 1

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