2sin^2x + 2cos^2x + 3 = 2(sin^2x + cos^2x) + 3= 2(1) + 3= 2 + 3= 5
Therefore, the expression simplifies to 5.
2sin^2x + 2cos^2x + 3 = 2(sin^2x + cos^2x) + 3
= 2(1) + 3
= 2 + 3
= 5
Therefore, the expression simplifies to 5.