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Methods of

factoring 

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Difference of TwoSquares

a2 - b2 = (a+b)(a-b)

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Sum / Difference ofTwo Cubesa3 + b3 = (a+b)( a2-ab+b2)

a3

 - b3

 = (a-b)( a2

+ab+b2

)S-O-AP

SAME OPPOSITE ALWAYS POSITIVE

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Grouping1. Is there a GCF? Factor it out!2. Split the expression into two pairs

of terms and factor separately3. Make sure the factor you pull out is

the same for both pairs

4. Combine the factor shared and theother factors to create a factoredexpression

Credit: PurpleMath

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Quadratic Trinomialsax 2 + bx + c

Ask yourself, what multipliesto ‘c’ and adds to ‘b’

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Greatest CommonFactorThe largest of the common

factors of two or morenumbers

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