Simplified expression of ^2 ( 6 + )- ^2 ( 6 - ) is

Step-by-step solution

The given expression is ² ( 6 + ) - ² ( 6 - ) . Using the trigonometric identity ² A - ² B = (A + B) (A - B) , we set A = 6 + and B = 6 - . Calculating A + B = ( 6 + ) + ( 6 - ) = 2 6 = 3 . Calculating A - B = ( 6 + ) - ( 6 - ) = 2 . Substituting these values into the identity, the expression becomes ( 3 ) (2 ) . Since ( 3 ) = 1 2 , the expression simplifies to 1 2 2 . Answer: 1 2 2