A = (x + 2)(x - 2) - (x - 3)(x + 1)
= x² - 4 - x² - x + 3x + 3
= 2x - 1
B = (2x + 1)² + (3x - 1)² + 2(2x + 1)(3x - 1)
= (2x + 1 + 3x - 1)²
= (5x)²
= 25x²
C = (6x + 1)² + (6x - 1)² - 2(1 + 6x)(6x - 1)
= (6x + 1)² - 2(6x + 1)(6x - 1) + (6x - 1)²
= (6x + 1 - 6x + 1)²
= 2²
= 4
D = (x + 1)(x² - x + 1) - (x - 1)(x² + x + 1)
= (x³ + 1) - (x³ - 1)
= x³ + 1 - x³ + 1
= 2
E = (2x + 5)² - 5(x - 4)(x + 4) - 3(x - 2)³
= 4x² + 20x + 25 - 5x² + 80 - 3(x³ - 6x² + 12x - 8)
= -x² + 20x + 105 - 3x³ + 18x² - 36x + 24
= -3x³ + 17x² - 16x + 129
F = (2x - 3)³ - 4(2x + 4)² + 3(x + 3)(x² - 3x + 9)
= 8x³ - 36x² + 54x - 27 - 4(4x² + 16x + 16) + 3(x³ + 27)
= 8x³ - 36x² + 54x - 27 - 16x² - 64x - 64 + 3x³ + 81
= 11x³ - 52x² - 10x - 10
G = (2x + 1)² - 3(x + 2)(x² - 2x + 4) + (x + 3)³
= 4x² + 4x + 1 - 3(x³ + 8) + x³ + 9x² + 27x + 27
= 13x² + 31x + 28 - 3x³ - 24 + x³
= -2x³ + 13x² + 31x + 4
