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Published bySuzanna Booker Modified over 5 years ago

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The 3 F words Fractions, FOIL and Factoring

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Fractions Addition get a common denominator Factor all denominators to help find LCD Multiply both numerator and denominator of each fraction by factors of LCD missing from the denominator add/subtract numerators denominator stays the same Subtraction change to “add the opposite” (aka keep-change-change) Multiplication cancel factors common to both numerator and denominator, multiply across and reduce Division change to “multiply by the reciprocal” (aka keep-change-flip)

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FOIL First – Outer – Inner - Last (a + b)(c + d) = ac + ad + bc + bd Sum and Difference Pattern (a + b)(a – b) = a 2 – b 2 square of first term minus square of last term Square of a Binomial Pattern (a + b) 2 = a 2 + 2ab + b 2 square of first term, double the product of both terms and square of the last term

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Factoring (6 common types) Common Monomial Factoring (always look for first) Factor by Grouping (4 terms) Factorable Trinomials (with shortcut) Factorable Trinomials (without shortcut) Difference of Two Squares [ a 2 – b 2 = (a + b)(a – b) ] Perfect Square Trinomials [ a 2 ± 2ab + b 2 = (a ± b) 2 ]

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