Expansion of brackets

 

General forms

 

 

 

 

 

Fractions

 

Evaluate

 

 

Exponents

 

Simplify

 

 

Multiply quantities of the same base with different exponents

 

Generally

 

 

Example

 

 

To raise a term involving an exponent to a power, multiply the exponent by the power

 

Generally

 

 

Example

 

 

Evaluating the nth root

 

Generally

 

 

Example

 

 

For different bases with the same exponent

 

 

 

Negative Exponents

 

 

Cancelling terms

 

 

Examples

 

 

Degree of an expression

 

Linear expression

 

 

Quadratic expression

 

 

Cubic expression

 

 

Expression of degree 5

 

 

 

 

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© Duncan Williamson

August 2001