1 / 12

Factoring the Sum & Difference of Two Cubes

Factoring the Sum & Difference of Two Cubes. This is a piece of cake, if you have perfect cubes. What are perfect cubes?. This is a piece of cake, if you have perfect cubes. What are perfect cubes? Something times something times something . Where the something is a factor 3 times.

dick
Télécharger la présentation

Factoring the Sum & Difference of Two Cubes

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. Factoring the Sum & Difference of Two Cubes

  2. This is a piece of cake, if you have perfect cubes. What are perfect cubes?

  3. This is a piece of cake, if you have perfect cubes. What are perfect cubes? Something times something times something. Where the something is a factor 3 times. 8 is 2  2  2, so 8 is a perfect cube. x6is x2 x2 x2 so x6 is a perfect cube. It is easy to see if a variable is a perfect cube, how?

  4. This is a piece of cake, if you have perfect cubes. What are perfect cubes? Something times something times something. Where the something is a factor 3 times. 8 is 2  2  2, so 8 is a perfect cube. x6is x2 x2 x2 so x6 is a perfect cube. It is easy to see if a variable is a perfect cube, how? See if the exponent is divisible by 3. It’s harder for integers.

  5. The sum or difference of two cubes will factor into a binomial  trinomial. same sign always + always opposite same sign always + always opposite

  6. Now we know how to get the signs, let’s work on what goes inside. Square this term to get this term. Cube root of 1st term Cube root of 2nd term Product of cube root of 1st term and cube root of 2nd term.

  7. Try one. Make a binomial and a trinomial with the correct signs.

  8. Try one. Cube root of 1st term Cube root of 2nd term

  9. Try one. Square this term to get this term.

  10. Try one. Multiply 3x an 5 to get this term.

  11. Try one. Square this term to get this term.

  12. Try one. You did it! Don’t forget the first rule of factoring is to look for the greatest common factor. I hope you took notes!

More Related