#### Example 3

Use the distributive law to rewrite these expressions without brackets.

1. $$5(x-4)$$
2. $$4(3x+2)$$
3. $$6(4-2x)$$

#### Solution

1. $$5(x-4)=5x-20$$
2. $$4(3x+2)=12x+8$$
3. $$6(4-2x)=24-12x$$

#### Example 4

Use the distributive law to rewrite these expressions without brackets.

1. $$\dfrac{3x+1}{3}$$
2. $$\dfrac{2-x}{2}$$

#### Solution

1. $$\dfrac{3x+1}{3}=x+\dfrac{1}{3}$$
2. $$\dfrac{2-x}{2}=1-\dfrac{x}{2}$$