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Multiply x2 + x + 1 by x2 - x + 1

Mathematics
JAMB 1981
Multiply x2 + x + 1 by x2 - x + 1
  • A. x4 - x + x2
  • B. x4 - x2 + x2
  • C. x4 + x2 + 1
  • D. x4 + x2
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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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