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# Factorising Brackets

 3 Factorising Factorising single brackets eg. x2 + 9x = x(x + 9) Factorising quadratics eg. eg x2 - 2x - 35 = (x - 7)(x + 5) Two stage factorising eg. eg x2 + 5xy + xy - 2y = x(x + 5) + y(x - 2) Activity Factorising (single brackets) (www.transum.org) Factorising Quadratics Ex3.01, Ex3.02, Ex3.03, Ex3.04 Theta pg 13 NuLake EAS Q35 -73 5 More Factorising Harder factorising eg. 4x2 + 7x - 15 = (4x + 5)(x - 3) Difference between two squares eg. 4x2 - 25y2 = (2x + 5y)(2x - 5y) Activity Factorising (common factor) (www.transum.org) Ex3.05, Ex3.06, Ex3.07 Theta pg 14 NuLake EAS Q74 - 88 NuLake EAS Q88 - 104 6 Even More Factorising Factorising fractions (factorise top and bottom and cancel) Ex3.07 NuLake EAS Q234 - 259

# Factorise Single brackets

### Factorise brackets by dividing out a common factor from each term

 1) A number 2) A variable Answer 3) Number & Variable Answer Mouse over key words

# 2 step factorising

### Factorise a quadratic by factorising groups of terms first

 1) First group 2) 2nd group 3) Factorise again Mouse over key words

### List the factors of the constant term & select the pair which add to the coefficient of x.

 Factors Select pair Factorise Mouse over key words

# An example with negatives

 Factors Select pair Factorise Mouse over key words

# Quadratics with a common factor

### Always check for a common factor which can be divided out first

 Take out a common factor Factorise again Factors Answer Mouse over key words

# A more complex example

 Step1  Step2 Step3  Step4 Step5  Step6 Answer Mouse over key words

# A more complex example using 2 step factorising

 Step1 Step2 Step3 Step4 Step5 Answer Mouse over key words

# The difference between squares

### Two squares subtracted can be factorised easily

 Step1 Step2 Harder example Step1 Step2 Mouse over key words