Without expanding, show that \(\left|\begin{array}{ccc}b^2 c^2 & b c & b+c \\ c^2 a^2 &am...

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\[ \left|\begin{array}{ccc} b^{2}+c^{2} & a^{2} & a^{2} \\ b^{2} & c^{2}+a^{2} & b^{2} \\ c^{2} ... \[ \left|\begin{array}{ccc} b^{2}+c^{2} & a^{2} & a^{2} \\ b^{2} & c^{2}+a^{2} & b^{2} \\ c^{2} ...
Let \( \Delta=\left|\begin{array}{ccc}-b c & b^{2}+b c & c^{2}+b c \\ a^{2}+a c & -a c & c^{2}+a.... Let \( \Delta=\left|\begin{array}{ccc}-b c & b^{2}+b c & c^{2}+b c \\ a^{2}+a c & -a c & c^{2}+a....
Without expanding the determinant, prove that |[ a a^2 b c; b b^2 c a; c c^2 a b ]|=|[ 1 ... Without expanding the determinant, prove that |[ a a^2 b c; b b^2 c a; c c^2 a b ]|=|[ 1 ...
without expanding the determinant prove that det (a a^2 bc , b b^2 ca , c c^2 ab )=det( 1 a a^3 ... without expanding the determinant prove that det (a a^2 bc , b b^2 ca , c c^2 ab )=det( 1 a a^3 ...
Without expanding the determinant, prove that: \[ \left|\begin{array}{ccc} 1 & a & b c \\ 1 & b ... Without expanding the determinant, prove that: \[ \left|\begin{array}{ccc} 1 & a & b c \\ 1 & b ...
Without expanding, show that : |[[1/a, a^2, bc],[1/b, b^2, ac],[1/c, c^2, ab]]| = 0 Without expanding, show that : |[[1/a, a^2, bc],[1/b, b^2, ac],[1/c, c^2, ab]]| = 0
Without expanding the determinant, prove that `|(a,a^2,bc),(b,b^2,ca),(c,c^2,ab)|=|(1,a^2,a^3),(... Without expanding the determinant, prove that `|(a,a^2,bc),(b,b^2,ca),(c,c^2,ab)|=|(1,a^2,a^3),(...
Using the property of determinants and without expanding, prove that: `|-a^2a b a c b a b^2b cc ... Using the property of determinants and without expanding, prove that: `|-a^2a b a c b a b^2b cc ...