# 2. Multiplication of Algebraic Expressions

When we multiply algebraic expressions, we need to remember the Index Laws from the Numbers chapter.

Let's see how algebra multiplication works with a series of examples.

### Example 1

Multiply *x*^{3}(*x*^{4} + 5*a*)

### Example 2

Multiply (*x* +
5)(*a* − 6)

### Example 3

Multiply (2*x* +
3)(*x*^{2} − *x* − 5)

### Example 4

Multiply `(x − 3)^2`

### Important Note:

`(x − 3)^2`

is NOT equal to

`x^2− 9`

Please take note of this! Many students confuse this idea. (See also Towards more meaningful math notation for a discussion on this issue.)

### Example 5

Simplify
5*x*[−4 +
10(*x* −
*y*)] +
7*x*

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