Q. The value of determinant $\left| \begin{matrix} b + c & a + b & a \\ c + a & b + c & b \\ a + b & c + a & c \end{matrix} \right|$ is equal to
A) $a^{3} + b^{3} + c^{3} - 3\ abc$
B) $2abc(a + b + c)$
C) 0
D) None of these
Explanation
The correct answer is Option A: $a^{3} + b^{3} + c^{3} - 3\ abc$.
A detailed explanation for this question is being prepared.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.