[" Prove that "|D|=|[(a^(2)+b^(2))/(c),c,c],[a,(b^(2)+c^(2))/(a),a],[b,b,(c^(2)+a^(2))/(b)]|,=4abc]

(a^(2)+b^(2))/(c),c,ca,(b^(2)+c^(2))/(a),ab,b,(c^(2)+a^(2))/(2)]|=4abc

show that [[(a^(2)+b^(2))/(c),c,ca,(b^(2)+c^(2))/(a),ab,b,(a^(2)+b^(2))/(c)]]=4abc

Show that , |[(a^2+b^2)/c,c,c],[a,(b^2+c^2)/a,a],[b,b,(c^2+a^2)/b]|=4abc

Prove: |((a^2+b^2)/c,c,c),( a,(b^2+c^2)/a ,a),( b,b,(c^2+a^2)/b)|=4a b c

Prove: |((a^2+b^2)/c,c,c),( a,(b^2+c^2)/a ,a),( b,b,(c^2+a^2)/b)|=4a b c

Show that , |{:((a^2+b^2)/c," "c," "c),(" "a,(b^2+c^2)/a," "a),(" "b," "b,(c^2+a^2)/b):}|=4abc

Prove that : (i) |{:(a,c,a+c),(a+b,b,a),(b,b+c,c):}|=2 abc (ii) Prove that : |{:(a^(2),bc,ac+c^(2)),(a^(2)+ab,b^(2),ac),(ab,b^(2)+bc,c^(2)):}|=4a^(2)b^(2)c^(2)

Prove that : (i) |{:(a,c,a+c),(a+b,b,a),(b,b+c,c):}|=2 abc (ii) Prove that : |{:(a^(2),bc,ac+c^(2)),(a^(2)+ab,b^(2),ac),(ab,b^(2)+bc,c^(2)):}|=4a^(2)b^(2)c^(2)

Prove that b^(2)c^(2) + c^(2)a^(2) + a^(2) b^(2) gt abc (a+b+c)