Find and correct the errors in the following mathematical statement.
(y - 3)2 = y2 - 9
Find and correct the errors in the following mathematical statement.
(z + 5)2 = z2 + 25
Find and correct the errors in the following mathematical statement.
(2a + 3b) (a - b) = 2a2 - 3b2
(2a + 3b)(a - b) = 2a2 - 3b2
∵ (2a + 3b) (a - b) = a(2a + 3b) - b (2a + 3b)
                          = 2a2 + 3ab - 2ab + 3b2
                          = 2a2 + ab +3b2
∴    The correct statement is
           (2a + 3b) (a - b) = 2a2 + ab + 3b2
Find and correct the errors in the following mathematical statement.
(a + 4) (a + 2) = a2 + 8