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Using properties of determinants, show that:
Using properties of determinants, show that:
$\begin{vmatrix} x & p & q \\ p & x & q \\ q & q & x \end{vmatrix} = (x - p)(x^2 + px - 2q^2)$
Given: $\begin{vmatrix} x & p & q \\ p & x & q \\ q & q & x \end{vmatrix}$
To show: $(x - p)(x^2 + px - 2q^2)$
Answer
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From ISC 2020 Mathematics Paper 1, question 4.