Prove that \(\begin{vmatrix} 1 & x & x^3 \\ 1 & y & y^3 \\… – BCA Mathematics - 1 2026 Solved

BCA Mathematics - 1 · 2026 · Solved Question with Answer

Prove that \(\begin{vmatrix} 1 & x & x^3 \\ 1 & y & y^3 \\ 1 & z & z^3 \end{vmatrix} = (x - y)(y - z)(z - x)(x + y + z)\).

Solution

Prove that \(\begin{vmatrix} 1 & x & x^3 \\ 1 & y & y^3 \\ 1 & z & z^3 \end{vmatrix} = (x - y)(y - z)(z - x)(x + y + z)\) .