Algebra 1 factorisation by grouping

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Transcript of Algebra 1 factorisation by grouping

Page 1: Algebra 1 factorisation by grouping

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http://www.mymaths.co.uk/gold/factorising/factoriseExpressions.html

Revision from previous lesson

Common factor

steps 1­4­7­9

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Algebra

• Multiply  two  brackets.

• Factorise expressions by grouping.

By the end of the lesson you should be able to :

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Multiplying two brackets

(x + y) ( 2 + a ) =

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 Expand  the brackets:

( x + 3 ) ( x ­ 5 ) =

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 Expand  the brackets:

( x ­5 ) ( x ­ 4 ) =

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 Expand  the brackets:

( 2x ­1 ) ( 3x ­ 2 ) =

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 Expand  the brackets:

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 Expand  the brackets:

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Factorise the expression:

a ( 2 + x ) + b ( 2 + x) = 

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2 a + a x + 2 b + b x = 

Factorise:

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3 (x ­ y )+ a ( x ­ y )=Factorise:

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3 x ­ 3 y + ax ­ a y =Factorise:

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 Expand  the brackets:

( x ­ 5 ) ( x + a ) =  x2 + x a ­ 5 x ­ 5 a

Expand

Factorise

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a x + b x + ay + by =Factorise:

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xy +mx + 3y +3 m =Factorise:

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t2 ­ 3 ta + t ­  3a=

Solve worksheet "Factorisation by grouping in pairs"

Factorise:

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a2  + a ­ ab ­ b =

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3x2  + 6x ­ ab ­ 2ab =

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5y2  ­ 2y ­ 5ay + 2a =