Hey Aaditya,

Here’s the solution to the asked problem:-

(X+Y)^2 = X^2 + Y^2 +2XY

(Y+X)^2 = Y^2 + Z^2 + 2YZ

(Z+X)^2 = Z^2 + X^2 +2ZX

(X+Y+Z)^2 = X^2 + Y^2 + Z^2 + 2(XY + YZ + ZX)

Use the above equations to calculate the value. 4th equation could be used for calculation of X^2 + Y^2 + Z^2 and could be substituted in the initial 3 equations for the desired results.

Hope this helps.