Question
( left|begin{array}{ccc}a^{2} & a^{2}-(b-c)^{2} & b c b^{2} & b^{2}-(b-c)^{2} & a c c^{2} & c^{2}-(a-b)^{2} & a bend{array}right| )
( C_{2} rightarrow C_{2}-2 C_{1}-2 C_{3} )
( left|begin{array}{ccc}a^{2} & -left(a^{2}+b^{2}+c^{2}right) & b c b^{2} & -left(a^{2}+b^{2}+c^{2}right) & a c c^{2} & -left(a^{2}+b^{2}+c^{2}right) & a bend{array}right| )
( -left(a^{2}+b^{2}+c^{2}right)left|begin{array}{ccc}a^{2} & 1 & b c b^{2} & 1 & a c c^{2} & 1 & a bend{array}right| )
( R_{1} rightarrow R_{1}-R_{2}, R_{2} rightarrow R_{2}-R_{3} )
( -left(a^{2}+b^{2}+c^{2}right)left|begin{array}{lll}a^{2}-b^{2} & 0 & b c-a< b^{2}-c^{2} & 0 & a c-a b c^{2} & 1 & a bend{array}right| )
on expandug you ( w u l g l- )
( (b-c)(c-a)left(a^{2}+b^{2}+c^{2}right) )

la? a? -(b - c)2 bc b2b2 -(c - a) ca = (a - b) (b -c) (c-a) (a + b + c) (22 +62 + ?) c2c2-(a - b)2 ab
Solution
