Removing Brackets

 

Everything inside the bracket must be multiplied by

everything outside the bracket.

 

Examples

 

Single Brackets

 

   

 

 

Pairs of Brackets

   

 

 

 

 

 

 

                 

In General      (a + b)( c + d)  = a( c + d) + b( c + d)

                                                =   ac  + ad + bc + bd

 

Is there an easier way ?

 

 

  

 

(●    )(●  )       (●    )(    ●)     (    ●)( ●  )    (   ●)(   ●)

       V                     V                    V                  V

 

 

 


(a + b)( c + d) = ac  + ad + bc + bd

 

 


(a    )(c   )        (a    )(    d)      (    b)( c   )     (   b)(   d)

   First               Outsides          Insides          Last

 

 

 

Text Box: Remember FOIL Multiply First terms, Outside terms, Inside terms and Last terms  

 

 

 

 

 

 

 

Factorising  (Bringing back brackets)

 

Find the HCF and place outside brackets.

 

Examples