Multiply \(x^2+ x + 1\) by \(x^2\)- x + 1
 

  • A x\(^4\) - x + x²
  • B x\(^4\) - x² + x²
  • C x\(^4\) + x² + 1
  • D x\(^4\) + x²
jamb 1981mathematics

The correct answer is C. x\(^4\) + x² + 1

1. We can use the distributive property to expand the product: \((x^2+ x + 1)(x^2- x + 1) = x^2(x^2- x + 1) + x(x^2- x + 1) + (x^2- x + 1)\)

2. Simplifying further, we get: \(x^4 - x^3 + x^2 + x^3 - x^2 + x + x^2 - x + 1\)

3. Combining like terms, we get: \(x^4 + x^2 + 1\)

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