Removing Brackets

Everything inside the bracket must be multiplied by everything outside the bracket.

Examples

Single Brackets

 

 

Pairs of Brackets

 

Is there an easier way ?

 

  

  

Examples

 

 

 

 

 

General result

 

 

Factorising 

(Bringing back brackets)

Find the HCF and place outside brackets.

Examples

  

 

Expanding   (a - b)( a + b) gives

This can be reversed to factorise expressions of the form a² -  b²

Examples

 

 

When factorising,

1. Look for common factors
2. Look for difference of two squares
3. Look to factorise quadratics
4. Use the Quadratic Formula.