Geometric proofs of algebraic identities for visual learners

00:00 (a + b)2 = a2 + 2ab + b2
00:47 a2 + b2 = (a + b)2 - 2ab
01:18 (a + b)2 = (a - b)2 + 4ab
02:28 a2 + b2 = (a - b)2 + 2ab
03:48 (a - b)2 = a2 - 2ab + b2
05:12 a2 - b2 = (a + b)(a - b)