Expand and simplify

a. 5 (3p+2) - 2 (4p-3)

b. 4 (2x+3) - (x-2)

c. (x+3) (x-2)

d. (x-1) (x-2)

e. (x-3) (x-2)

f. (2p+3) (p-2)

g. (3t-2) (2t+3)

h. (2x-5) (3x-2)

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