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# Section 5.5 - PowerPoint PPT Presentation

Section 5.5. Special Factoring Formulas. The Difference of Two Squares. a 2 – b 2 = (a + b)(a – b) Examples: 1) 64x 2 – 9 2) 49x 2 – 81y 2 3) 169x 4 – 9y 4 4) x 6 – y 8. The Sum and Difference of Two Cubes. a 3 + b 3 = (a + b)(a 2 – ab + b 2 )

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### Section 5.5

Special Factoring Formulas

• a2 – b2 = (a + b)(a – b)

• Examples:

• 1) 64x2 – 9 2) 49x2 – 81y2

• 3) 169x4 – 9y4 4) x6 – y8

• a3 + b3= (a + b)(a 2 – ab + b2)

• a3 - b3= (a - b)(a 2 + ab + b2)

• Examples:

• 1) x3 + 125 2) z3 – 216

• 3) 27m3 - bn3 4) 125x3 + 27y3

• 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 guess-and-check method from sections 5.3 and 5.4.

• 4. If it has 4 terms, try factoring by grouping.

• 5. Always double check to see if your factors can be factored further.