If a,b,c are different positive real num...

If a,b,c are different positive real numbers such that `b+c−a,c+a−b` and `a+b−c` are positive, then `(b+c−a)(c+a−b)(a+b−c)−abc` is a. positive b. negative c. non-positive d. non-negative

Similar Questions

Explore conceptually related problems

If a , b ,c are three distinct positive real numbers in G.P., then prove that c^2+2a b >3a cdot

If a ,b , a n dc are distinct positive real numbers such that a+b+c=1, then prove tha ((1+a)(1+b)(1+c))/((1-a)(1-b)(1-c))> 8.

If a,b,c and d are four unequal positive numbers which are in A.P then

If a,b,c,d are positive real number with a + b + c + d=2 ,then M =(a+b)(c+d) satisfies the inequality

If a , b , c are positive numbers such that a gt b gt c and the equation (a+b-2c)x^(2)+(b+c-2a)x+(c+a-2b)=0 has a root in the interval (-1,0) , then

If three positive real numbers a, b, c are in A.P and abc = 4 , then the minimum possible value of b is

If a,b and c are distinct positive real numbers in A.P, then the roots of the equation ax^(2)+2bx+c=0 are

Let a, b, c be district real numbers. If a, b, c are in G.P and a + b + C = bx , the x in

If a, b and c are distinct positive numbers, then the expression (a + b - c)(b+ c- a)(c+ a -b)- abc is:

If a ,b ,c are positive, then prove that a//(b+c)+b//(c+a)+c//(a+b)geq3//2.