a. 2(x + y) + 3(x + y)
2(x) + 2(y) + 3(x) + 3(y)
2x + 2y + 3x + 3y
2x + 3x + 2y + 3y
5x + 5y
b. 5(x + y) + 2(5x - y)
5(x) + 5(y) + 2(5x) - 2(y)
5x + 5y + 10x - 2y
5x + 10x + 5y - 2y
15x + 3y
c. 5(x + y) + 3(2x - y)
5(x) + 5(y) + 3(2x) - 3(y)
5x + 5y + 6x - 3y
5x + 6x + 5y - 3y
11x + 2y
d. 3(2c + d) - 4(4p - 3)
3(2c) + 3(d) - 4(4p) + 4(3)
6c + 3d - 16p + 12
e. 4(2p + 2q) - 3(2p - q)
4(2p) + 4(2q) - 3(2p) + 3(q)
8p + 8q - 6p + 3q
8p - 6p + 8q + 3q
2p + 11q
