[" If "a,b,c" are positive real numbers and sides of the triangle,t "],[(a+b+c)^(3)>=27(a+b-c)(c+a-b)(b+c-a)]

If a,b,c are positive real numbers and sides of a triangle,then prove that (a+b+c)^(3)>=27(a+b-c)(b+c-a)(c+a-b)

If a, b,c are distinct positive real numbers, then the vlaue of the determinant , |(a,b,c),(b,c,a),(c,a,b)| .

If a,b,c are three positive real numbers then show that (a+b+c) (1/a+1/b+1/c)ge9 .

If a,b,c are three positive real numbers then the minimum value of the expression (b+c)/(a)+(c+a)/(b)+(a+b)/(c) is

If a, b, c are positive real numbers, then the least value of (a+b+c)((1)/(a)+(1)/(b)+(1)/( c )) , is

If, a,b,c are positive and unequal,show that value of the determinant Delta ={:[( a,b,c),( b,c,a),( c,a,b)]:} is negative

If, a,b,c are positive and unequal,show that value of the determinant Delta ={:[( a,b,c),( b,c,a),( c,a,b)]:} is negative

If, a,b,c are positive and unequal,show that value of the determinant Delta ={:[( a,b,c),( b,c,a),( c,a,b)]:} is negative

If a,b,c are positive real numbers such that a+b+c=1, then prove that (a)/(b+c)+(b)/(c+a)+(c)/(a+b)>=(3)/(2)