1 / 4

Section 5.5

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 )

dixie
Download Presentation

Section 5.5

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 5.5 Special Factoring Formulas

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

  3. The Sum and Difference of Two Cubes • 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

  4. 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 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.

More Related