Expanding the given expression:
= (4sin²a - 4sin2acos2a + cos²a) + (4cos²a + 4sin2acos2a + sin²a)= 4sin²a - 4sin2acos2a + cos²a + 4cos²a + 4sin2acos2a + sin²a= 4sin²a + cos²a + 4cos²a + sin²a= 4(sin²a + cos²a) + (sin²a + cos²a)= 4(1) + 1= 4 + 1= 5
Therefore, the value of the expression is 5.
Expanding the given expression:
= (4sin²a - 4sin2acos2a + cos²a) + (4cos²a + 4sin2acos2a + sin²a)
= 4sin²a - 4sin2acos2a + cos²a + 4cos²a + 4sin2acos2a + sin²a
= 4sin²a + cos²a + 4cos²a + sin²a
= 4(sin²a + cos²a) + (sin²a + cos²a)
= 4(1) + 1
= 4 + 1
= 5
Therefore, the value of the expression is 5.