### Simplifying Algebraic Expressions - Removing Brackets

#### Lesson Objective

Learn how to remove brackets when simplifying algebraic expressions...

#### About This Lesson

Algebraic expressions can contain brackets. In order to simplify these kind of expressions, you may need to remove the brackets.

This lesson shows you the basics that you need to know when removing brackets.

### Study Tips

#### Tip #1

Remember to multiply all the terms in the brackets with the term outside the brackets.

#### Tip #2

It is important understand why you are able to multiply the terms together in order to remove the brackets in the expression.

Now, watch the following math video to know more.

### Math Video

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#### Math Video Transcript

Simplifying Algebraic Expressions - Removing Brackets

00:00:02.060

Algebraic expressions may contain brackets.

00:00:06.020

You can remove these brackets by multiplying all the terms in the brackets with the term outside the bracket.

00:00:13.060

Now, let's look at some examples in simplifying algebraic expressions to understand this better.

00:00:19.090

Take 3(2x) as an example. This expression is equals to 2x + 2x + 2x.

00:00:31.090

When you add all the 2x, you get 6x.

00:00:37.190

Now, notice that, if you multiply 3 with 2, you will also get 6. Therefore, you can get the same answer 6x, by multiplying 3 with 2x.

00:00:50.210

Let's take another example, 2(x+1).

00:00:55.220

This expression is equals to x+1 plus x+1.

00:01:05.010

If you simplify this expression, you get x + x = 2x , and 1, plus 1, equals to 2.

00:01:15.180

Now, notice this, you can also get 2x by just multiplying 2 with x.

00:01:22.240

Similarly, you also can get 2, by just multiplying 2 with 1.

00:01:30.120

Alright, let's apply what you have learn here by simplifying this expression.

00:01:36.210

Let' remove the brackets in this term.

00:01:41.210

To remove the brackets, multiply 2 with 3a. This gives positive 6a.

00:01:50.010

Let's put back this term, positive 6a, back into the expression.

00:01:55.170

Now, let's remove the brackets in this term.

00:02:00.210

First, multiply -2 with 4a. This gives -a.

00:02:07.100

Then, we multiply -2 with -3b. This gives +6b.

00:02:14.020

Let's put these terms back into the expression.

00:02:18.240

Now, notice that you can simplify the like terms +6a and – 8a. Adding them up gives -2a.

00:02:32.160

The expression is now -2a + 6b. Since there is no more like terms, this is the simplest expression you can get.

00:02:43.030

One last example on simplifying algebraic expressions.

00:02:48160

Let's remove the brackets in the term, -(2x -3).

00:02:56.010

Notice this 'negative sign' ,what does it means? This negative sign is actually the the same as -1.

00:03:06.040

Knowing this, we now multiply -1with 2x. This gives -2x.

00:03:14.110

Now, we multiply -1 with -3. This gives +3.

00:03:21.140

Let's put back these terms back into the expression.

00:03:25:13

Now, let's remove the brackets for 2(x+4).

00:03:31.180

Multiply +2 with x. This gives 2x.

00:03:37.060

Now, multiply +2 with +4. This gives +8.

00:03:44.140

Let's put back these terms back into the expression.

00:03:48.220

Now, notice that there are like terms in this expression. Let's group the like terms together.

00:03:55.070

To simplify this expression, add +2x with -2x. These terms cancels off each other. So, you don't have to write anything.

00:04:07.010

Now, add +3 with +8. This gives +11.

00:04:13.150

Since there is no more like terms, this is the simplest expression you can get.

00:04:19.040

That's all for this lesson in simplifying algebraic expressions. Try out the practice questions to test your understanding.

### Practice Questions & More

#### Multiple Choice Questions (MCQ)

Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on simplifying algebraic expressions - removing brackets or pick your choice of question below.

- Question 1 on removing brackets
- Question 2 on removing brackets and simplifying

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