(2a + b) = 2a + b(2b - 5a) = 2b - 5a
(2a + b)^2 = (2a + b)(2a + b) = 4a^2 + 2ab + 2ab + b^2 = 4a^2 + 4ab + b^2(2b - 5a)^2 = (2b - 5a)(2b - 5a) = 4b^2 - 10ab - 10ab + 25a^2 = 4b^2 - 20ab + 25a^2
Now we have:
(4a^2 + 4ab + b^2) + (4b^2 - 20ab + 25a^2) = 4a^2 + 25a^2 + 4b^2 + b^2 - 16ab = 29a^2 + 5b^2 - 16ab
Therefore, the expression simplifies to 29a^2 + 5b^2 - 16ab.
(2a + b) = 2a + b
(2b - 5a) = 2b - 5a
(2a + b)^2 = (2a + b)(2a + b) = 4a^2 + 2ab + 2ab + b^2 = 4a^2 + 4ab + b^2
(2b - 5a)^2 = (2b - 5a)(2b - 5a) = 4b^2 - 10ab - 10ab + 25a^2 = 4b^2 - 20ab + 25a^2
Now we have:
(4a^2 + 4ab + b^2) + (4b^2 - 20ab + 25a^2) = 4a^2 + 25a^2 + 4b^2 + b^2 - 16ab = 29a^2 + 5b^2 - 16ab
Therefore, the expression simplifies to 29a^2 + 5b^2 - 16ab.