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a. 3x + 5y - 1/2(4x - 2y)
3x + 5y - 2x + y
6y + x
b. 4(3x + 5y) + 3(4x - 2y)
12x + 20y + 12x - 6y
24x - 14y
c. 3(3x + 5y) - 3/2(4x - 2y)
9x + 15y - 6x + 3y
3x + 18y
= (3x + 5y) - 1/2 (4x - 2y)
= (3x + 5y) - (2x - y)
= x + 6y
b) 4A + 3B
= 4(3x + 5y) + 3(4x - 2y)
= 12x + 20y + 12x - 6y
= 24x + 14y
c) 3A - 5/2 B
= 3(3x + 5y) - 5/2 (4x - 2y)
= 9x + 15y - 10x + 5y
= - x + 20y