CUET · MATHS · PYQ PAPER 2025
The value of is \(\left|\begin{array}{cc}x^2-x+1 & x-1 \\ x+1 & x+1\end{array}\right|\) equal to
- A \(x^3+x^2-2\)
- B \(x^3+x^2+2\)
- C \(x^3-x^2+2\)
- D \(x^3-x^2-2\)
Answer & Solution
Correct Answer
(C) \(x^3-x^2+2\)
Step-by-step Solution
Detailed explanation
\( (x^2-x+1)(x+1) - (x-1)(x+1) \) \( (x^3+1) - (x^2-1) \) \( x^3+1-x^2+1 \) \( x^3-x^2+2 \)
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