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)

Answer


Example 2

Multiply (x + 5)(a − 6)

Answer


Example 3

Multiply (2x + 3)(x2 − x − 5)

Answer



Example 4

Multiply (x − 3)2

Answer


Here is a LiveMath document to illustrate this. You can make changes like changing x to some other letter, change the minus to plus, etc. Observe what happens at each change.

LIVEMath


Important Note:

(x − 3)2

is NOT equal to

x2 − 9


Example 5

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

Answer


 

Example 6

An expression found in chemical thermodynamics is p(c − 1) + 2 − c(p − 1). Multiply and simplify.

Answer





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