1)
a) AD = AF + FD = x+3 + x - 2 = 2x + 1
b) A = (2x +1)(2x +1) = 4x² +4x + 1
c) B = (x +3)(2x +1)
d) C = (x - 2)(2x + 1)
2) a)
B = (x +3)(2x +1) = 2x² +7x +3
C = (x - 2)(2x + 1) = 2x² - 3x - 2
B + C = 2x² +7x +3 + 2x² - 3x - 2 = 4x² +4x + 1
b) B + C = A = 4x² +4x + 1