Question

Simplify ( 1/2A + 1/2B )^2

Answer 1

A^2     ab     b^2
___+  ___+ ___
  4        2       4

this is your answer

Answer 2

Notice that both A and B are multiplied by (1/2).

Thus, the given expression can be re-written as [(1/2)(A+B)]^2.

Square the (1/2) and the (A+B) separately, and then multiply together the resulting squares:

(1/4)(A^2 + 2AB + B^2)