Question 41
Algebraic ExpressionsMultiply x2 + x + 1 by x2 − x + 1.
- A.x4 + 3x2 + x + 1
- B.x4 + x2 + 1
- C.x4 + 4x2 − 6x + 1
- D.x4 − 6x2 − 4x + 1
- E.x4 − x3 − x2 + x + 1.
Show the answer and explanation
Answer: B (x4 + x2 + 1)
Explanation
Write it as ((x² + 1) + x)((x² + 1) − x) = (x² + 1)² − x² = x⁴ + x² + 1.