Special Factoring Formulas & a General Review of Factoring

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Presentation transcript:

Special Factoring Formulas & a General Review of Factoring Section 5.5 Special Factoring Formulas & a General Review of Factoring

1. The Difference of Two Squares a2 – b2 = (a + b)(a – b) 1) 64x2 – 9 2) 49x2 – 81y2 3) 169x4 – 9y4 4) 2x6 – 2y8 5) x4 - 81

2. The Sum and Difference of Two Cubes a3 + b3= (a + b)(a 2 – ab + b2) a3 - b3= (a - b)(a 2 + ab + b2) 1) x3 + 125 2) z3 – 216 3) 81m3 - 3n3 4) 125x3 + 27y3

General factoring guidelines 1. Factor out a GCF if possible. 2. If it’s a binomial, determine if it’s the sum or difference of two cubes or the difference of 2 squares. IF so, use the appropriate formula. 3. If it’s a trinomial, use the Reverse FOIL method from section 5.4. 4. If it has 4 terms, factor by grouping. 5. Always double check to see if your factors can be factored further!