If a\b + b\a =1, then the value of a³+b³ will be 

What will be the value of x³+y³+z³-3xyz when x+y+z=9 and x²+y²+z²=31?

If a+b=2c, find $${a\over a-c}+{c\over b-c}?$$

If a-6b = 3 then the value of a³-216b³-54ab is : 

If  $$\sqrt{a}+\sqrt{b}=15 \ and \ (\sqrt{a}-\sqrt{b} )=3$$ then the value of $$\sqrt{ab/4} $$ is 

Find the minimum value of x which the expression  
x³-7x²+11x - 5 ≥ 0.

Given below are four jumbled sentences. Pick the option that gives their correct order.

A. The ingredients must therefore be of the finest quality and in the right proportions.
B. When you have them right and keep practicing you are sure to bake some of the yummiest cakes.
C. Success in life is just like baking a cake that requires many things.
D. Firstly, unless you have the right ingredients and recipe it is not going to work.

Given below are four jumbled sentences. Pick the option that gives their correct order.

A. Creating a relaxing bedroom environment is very important too, and this can be done using a calming, subtle fragrance.
B. It is possible to retrain your brain to have a sound sleep.
C. This is possible if you make sure your room is undisturbed, quiet and dark.
D. Start by regulating the times you go to bed and get up.