# Answer on Algebra Question for sapna

Question #45752

Let m, n, x, y, z be positive real numbers, with x + y + z = 1. Prove that

4 4 4

2

x y z 1

(mx ny) (my nx) (my nz) (mz ny) (mz nx) (mx nz) 3(m n)

+ + ≥

+ + + + + + +

[Hint: Apply the AM ≥ GM inequality to each term in the LHS, and then apply the CS

inequality.]

4 4 4

2

x y z 1

(mx ny) (my nx) (my nz) (mz ny) (mz nx) (mx nz) 3(m n)

+ + ≥

+ + + + + + +

[Hint: Apply the AM ≥ GM inequality to each term in the LHS, and then apply the CS

inequality.]

Expert's answer

Need a fast expert's response?

Submit orderand get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

## Comments

## Leave a comment