Bonjour,
A = 2 (x + 1)² - 2 (T - 4x) - 4x²
A = 2 (x² + 2x + 1) - 2T + 8x - 4x²
A = 2x² + 4x + 2 - 2T + 7x - 4x²
A = 2x² - 4x² + 4x + 7x - 2T + 2
A = - 2x² + 11x - 2T + 2
B = (4x - 1/2)² - (2x - 1/2) (2x + 1/2)
B = 16x² - 8/2x + 1/4x² - (4x² + 2/2x - 2/2x - 1/4)
B = 16x² - 8/2x + 1/4x² - 4x² - 2/2x + 2/2x + 1/4
B = 16x² - 4x² + 1/4x² - 8/2x + 1/4
B = 14x² + 1/4x² - 4x + 1/4
B = 56/4x² + 1/4x² - 4x+ 1/4
B = 57/4x² - 4x + 1/4
C = (3x - 1)² - (x + 4)²
C = 9x² - 6x + 1 - (x² + 8x + 16)
C = 9x² - 6x + 1 - x² - 8x - 16
C = 9x² - x² - 6x - 8x + 1 - 16
C = 8x² - 14x - 15
D = 1/2 (4m - 1)² + (1 - 2m) (1 + 2m)
D = 1/2 (16m² - 8m + 1) + 1 + 2m - 2m - 4m²
D = 16/2m² - 8/2m - 1/2 + 1 - 4m²
D = 8m² - 4m - 1/2 + 1 - 4m²
D = 8m² - 4m² - 4m - 1/2 + 2/2
D = 4m² - 4m + 1/2
N = (3x + 4)² - (2x - 1)²
N = 9x² + 24x + 16 - (4x² - 4x + 1)
N = 9x² + 24x + 16 - 4x² + 4x - 1
N = 9x² - 4x² + 24x + 4x + 16 - 1
N = 5x² + 28x + 15
P = 3 (x - 1)² - 4 (x - 1) (x + 2)
P = 3 (x² - 2x + 1) - 4 (x² + 2x - x - 2)
P = 3x² - 6x + 3 - 4x² - 8x + 4x + 8
P = 3x² - 4x² - 6x - 8x + 4x + 3 + 8
P = - x² - 10x + 11
Q = 3 (x + 1) (2x - 1) - (x + 1)²
Q = 3 (2x² - x + 2x - 1) - (x² + 2x + 1)
Q = 6x² - 3x + 6x - 3 - x² - 2x - 1
Q = 6x² - x² - 3x - 2x + 6x - 3 - 1
Q = 5x² + x - 4
T = 7m² - 3 (2m + 4) (1 - 5m) - (4m - 5)²
T = 7m² - 3 (2m - 10m² + 4 - 20m) - (16m² - 40m + 25)
T = 7m² - 6m + 30m² - 12 + 60m - 16m² + 40m - 25
T = 7m² + 30m² - 16m² - 6m + 60m + 40m - 12 - 25
T = 21m² + 94m - 37