c)
(x+1) · (x-2) - (x-3)² + x(x-2) =
(x²-2x+x-2) - (x²-2·3·x+3²) + (x²-2x) =
x² - x - 2 - x² + 6x - 9 + x² - 2x =
2x² + 3x - 11.
___________________________
f)
(1-2x)² + (1-3x)² - (1-2x) · (1-3x) =
[1² - 2·1·2x + (2x)²] + [1² - 2·1·3x + (3x)²] - (1 - 3x - 2x + 6x) =
(1 - 4x + 4x²) + (1 - 6x + 9x²) - (1 + x) =
1 - 4x + 4x² + 1 - 6x + 9x² - 1 - x =
1 - 3x + 13x².