Simplify `(sqrta+sqrtb)(sqrtc+sqrtd)`

Simplify : sqrt50.

(a + b)(sqrta + sqrtb ) (sqrta - sqrtb)= "________"

(sqrta + sqrtb)^2 = ?

In the figure shown strings AB and BC have masses m and 2m respectively. Both are of same length l.Mass of each string is uniformly distributed on its length. The string is suspended vertically from the ceiling of a room.A small jerk wave pulse is given at the end 'C'.It goes up to upper end 'A' in time 't' .If the value of t is given by a sqrt(l/g)+b sqrt(l/g)(sqrtc-sqrtd) then a+b+c+d is

Simplify (b+1)^3

If a,b,c are in AP, show that 1/((sqrtb+sqrtc)),1/((sqrtc+sqrta)),1/((sqrta+sqrtb)) are in AP.

Simplify : (32)^1