- The expression 3
*x*(*x*+ 2) means 3*x***multiplied by**the bracket (*x*+ 2)- 3
*x*is the term**outside**the bracket (sometimes called a "**factor**") and*x*+ 2 are the terms**inside**the bracket

- 3
- Expanding the brackets means
**multiplying**the**term**on the**outside**by**each term**on the**inside**- This will remove / "get rid of" the brackets
- 3
*x*(*x*+ 2) expands to which simplifies to

- Remember the basic rules of multiplication with signs
- − × − = +
- − × + = −

- It helps to put brackets around negative terms

(a)

Expand .

Multiply the term outside the brackets by both terms inside the brackets, watch out for negatives!

Simplify.

(b)

Expand .

Multiply the outside the brackets by both terms inside the brackets, watch out for negatives!

Simplify.

- Look out for two or more terms that contain brackets in an expression that are being added/subtracted
- E.g.
- Notice that the two sets of brackets are connected by a + sign, so you are
**not multiplying**the brackets together

- STEP 1: Expand each set of brackets separately by
**multiplying**the**term**on the**outside**of the brackets by**each of the terms**on the**inside**, be careful with negative terms- E.g. the first set of brackets expands to , and simplifies to , the second set of brackets expands to and simplifies to
- So,

- STEP 2: Collect together
**like terms**- E.g.

(a)

Expand and simplify .

Expand each set of brackets separately by multiplying the term outside the brackets by each of the terms inside the brackets.

Keep negative terms inside brackets so that you don't miss them!

Simplify.

Collect 'like' terms.

(b)

Expand and simplify .

Expand each set of brackets separately by multiplying the term outside the brackets by each of the terms inside the brackets.

Keep negative terms inside brackets so that you don't miss them!

Simplify.

Collect 'like' terms.

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