9. Show that a.) \begin{vmatrix} 1 & 1 & 1 \ a & b & c \ a^2 & b^2 & c^2 \end{vmatrix} = (b - c)(c - a)(a - b) b.) \begin{vmatrix} x + y & z \ y & z + x \ x & x \end{vmatrix} = 4xyz c.) \begin{vmatrix} a & b & b & b \ a & b & a & a \ b & b & a & b \ a & a & a & b \end{vmatrix} = -(a - b)^4
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Step 1
) To show that 1 1 1 9D c = b - ccaa - b a^2 62 c^2 x + y^2, we need to simplify the expression on the right side and show that it is equal to the left side. Starting with the right side: b - ccaa - b a^2 62 c^2 x + y^2 We can simplify this expression by Show more…
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