Which of the following expressions correctly demonstrates the distributive property? select all that apply a. 4(y+9) = 4y + 36 b. 7(x + 8) = 7x + 8 c. 3/4(8 - 12x) = -3x + 6 d. -6(1/2x + 7) = -3x - 42 e. 2(7x + 5 - 3x) + 4 (2x - 2) = 16x + 2

The distributive property is basically when you “distribute” the numbers throughout the parenthesis

for example: 2( 2x + 4 )

Well multiply 2 by 2x so 2x2=4 and then multiply 2 by 4 which 2x4 = 8

So a is correct because 4 x y = 4y and 5 x 9 = 36

B is incorrect because 7 x X = 7x but 7 x 8 DOES NOT equal 8, it equals 56

C is incorrect because 3/4 x 8 = 6 and 3/4 x -12x = -9x NOT -3x

D is correct because -6 x 1/2x = -3x and -6 x 7 = -42

E is correct because 2 x 7x = 14x, 2 x 5 = 10, 2 x -3x = -6x, 4 x 2x = 8x, and 4 x -2 = -8; so 14x + 10 -6x + 8x -8 would be 14x-6x+8x = 16x and then 10 - 8 = 2

I hope this helps!!!