This property is one that you will use all the time! It deals with multiplying a group of terms that are together in a parenthesis by a common number or term. It’s best taught by looking at examples.

**Example 1:**\(4(3x + 2)\)

\(4(3x) + 4(2)\)

\(12x + 8\)

**Example 2:**

\( - 5x(2x - 8)\) Be careful with your exponents and your signs!

\( - 5x(2x - 8)\)

\( - 5x(2x) + - 5x( - 8)\)

\( - 10{x^2} + 40x\)

Sometimes the distributive property must be used *within* an equation. Make sure you can recognize which term to distribute.

**Example 3:**

\(7x + 6(6 - x)\) We are distributing the 6 into (6 – x).

\(7x + 6(6) + 6( - x)\)

\(7x + 36 - 6x\)

Now, combine like terms. 7x and -6x equals 1x or just x.

\(x + 36\)

**Example 4:**

\( - 4b - 4(7b + 1)\) We are actually distributing a -4 into the parenthesis. I would rewrite it like this.

\( - 4b + - 4(7b + 1)\) Now, use the distributive property.

\( - 4b + - 4(7b) + - 4(1)\)

\( - 4b - 28b - 4\)

Combine like terms. -4b and -28b combine to become -32b.

\( - 32b - 4\)

Below you can

Simplify each expression.

This free worksheet contains 10 assignments each with 24 questions with answers.**Example of one question:**

**Watch below how to solve this example:**

Simplify each expression.

This free worksheet contains 10 assignments each with 24 questions with answers.**Example of one question:**

**Watch below how to solve this example:**

Simplify each expression.

This free worksheet contains 10 assignments each with 24 questions with answers.**Example of one question:**

**Watch below how to solve this example:**