(x + 7)² — 7x = x² + 14x + 49 — 7x = x² + 7x + 49
(c — 1)² — (1 — 2c) = c² — 2c + 1 — 1 + 2c = c²
(x — y)² + x(y — x) = (x — y)(x — y) — x(—y + x) = (x — y)(x — y — x) = (x — y)(—y) = —xy + y²
(a + b)² — 2b(a — b) = a² + 2ab + b² — 2ab + 2b² = a² + 3b²