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 x3(x4 + 5a)

Example 2

Multiply (x + 5)(a − 6)

Example 3

Multiply (2x + 3)(x2x − 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 5x[−4 + 10(xy)] + 7x

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