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algebra : brackets
 

[single term outside ][ two pairs brackets ][ difference of two squares ]

[ multiplying out - square brackets ][ factorising - simple ][ factorising quadratics ]

 

 


  • a drop-down menu of resources for 'brackets'
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    Multiplying Out(expanding) - a pair of brackets with a single term infront

    The term outside the brackets multiplies each of the terms in turn inside the brackets.

    example:

    brackets #1

    further examples:

    brackets #2

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    Multiplying Out(expanding) - two pairs of brackets

    Think of the two terms in the first bracket as separate single terms infront of a pair of brackets.

    example: brackets #3

    Multiply the contents of the 2nd bracket by the 1st term in the 1st bracket.

    brackets #4

    Multiply the contents of the 2nd bracket by the 2nd term in the 1st bracket.

    brackets #5

    Add the two results together.

    brackets #6

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    Why not try out the new GCSE Maths interactive pages?

     

    Example #1

    brackets #7

    Example #2

    brackets #8

    Example #3

    brackets #9

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    Squared Brackets

    brackets #10

    note: a common mistake

    brackets #11

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    Difference of Two Squares

     

    Brackets - Simple Factorising - This involves taking out a common term from each expression and placing it infront of the brackets.

    examples:

    brackets #12

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    Factorising Quadratic Expressions

    This is best illustrated with an example:

    brackets #13

     

    You must first ask yourself which two factors when multiplied will give 12 ?

    The factors of 12 are : ........1 x 12, ..............2 x 6, ...............3 x 4


    Now which numbers in a group added or subtracted will give 7 ?


    1 : 12 gives 13, 11 ..............2 : 6 gives 8, 4 .....................3 : 4 gives 7, 1


    so

    brackets #14


    which of the '+' & '-' terms makes +12? ........and when added gives -7?


    these are the choices: (+3)(+4), (-3)(+4), (+3)(-4) or (-3)(-4)


    clearly, (-3)(-4) are the two factors we want


    therefore

    brackets #15

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    GCSE Maths ipod support for interactive maths - Safari browser required

     

    Example #1

    brackets #16

    Example #2

    brackets #17

    Example #3

    brackets #18

     

    GCSE Maths revision from GCSE Maths Tutor

     

     

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