a. 5(3p + 2) - 2(4p - 3)
5(3p) + 5(2) - 2(4p) + 2(3)
15p + 10 - 8p + 6
15p - 8p + 10 + 6
7p + 16
b. 4(2x + 3) - (x - 2)
4(2x + 3) - 1(x - 2)
4(2x) + 4(3) - 1(x) + 1(2)
8x + 12 - x + 2
8x - x + 12 + 2
7x + 14
c. (x + 3)(x - 2)
x(x - 2) + 3(x - 2)
x(x) - x(2) + 3(x) - 3(2)
x² - 2x + 3x - 6
x² + x - 6
d. (x - 1)(x - 2)
x(x - 2) - 1(x - 2)
x(x) - x(2) - 1(x) + 1(2)
x² - 2x - x + 2
x² - 3x + 2
e. (x - 3)(x - 2)
x(x - 2) - 3(x - 2)
x(x) - x(2) - 3(x) + 3(2)
x² - 2x - 3x + 6
x² - 5x + 6
f. (2p + 3)(p - 2)
2p(p - 2) + 3(p - 2)
2p(p) - 2p(2) + 3(p) - 3(2)
2p² - 4p + 3p - 6
2p² - p - 6
g. (3t - 2)(2t + 3)
3t(2t + 3) - 2(2t + 3)
3t(2t) + 3t(3) - 2(2t) - 2(3)
6t² + 9t - 4t - 6
6t² + 5t - 6
h. (2x - 5)(3x - 2)
2x(3x - 2) - 5(3x - 2)
2x(3x) - 2x(2) - 5(3x) + 5(2)
6x² - 4x - 15x + 10
6x² - 19x + 10
