Distributive Property (cont)

For the expression 4(2x + 5) - 9, first distribute the 4 to both terms inside the parentheses:

4 × 2x = 8x

4 × 5 = 20

This gives you 8x + 20 - 9

Then combine the constants: 20 - 9 = 11

The simplified expression is 8x + 11

For the expression 15 - 3(4x - 2), distribute the -3 to both terms inside the parentheses. Note that you're distributing a negative number:

-3 × 4x = -12x

-3 × -2 = 6 (negative times negative is positive)

This gives you 15 - 12x + 6

Then combine the constants: 15 + 6 = 21

The simplified expression is 21 - 12x (or -12x + 21)