1 / 14

AS Mathematics

AS Mathematics. Algebra – Manipulation of brackets. Objectives. Be confident in the use of brackets Be able to factorise linear expressions. Review of expanding brackets. multiply term by term. collect like terms. Alternatives for expanding (x + 3)(x + 5). grid method. smiley face. x 2.

eurydice-charis
Download Presentation

AS Mathematics

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. AS Mathematics Algebra – Manipulation of brackets

  2. Objectives • Be confident in the use of brackets • Be able to factorise linear expressions

  3. Review of expanding brackets multiply term by term collect like terms

  4. Alternatives for expanding (x + 3)(x + 5) grid method smiley face x2 +5x +3x +15

  5. Perfect square! Remember (a + b)2 = a2 + 2ab + b2

  6. Difference of 2 squares! Remember (a-b)(a+b)= a2 - b2

  7. – A harder one! multiply term by term collect like terms

  8. Example 5 multiply any two brackets multiply remaining bracket collect like terms

  9. Factorising This involves taking out any common factors. Try to spot the HCF by inspection.

  10. (i) common factors The HCF of 12x & 18y is 6 Check your answer by expanding the brackets The HCF of 6x2 & 21x is 3x

  11. (ii) grouping The first two terms have common factor a, the last two have common factor y There is now a common factor of (x + y) Check your answer by expanding the brackets.

  12. To illustrate this:- let z = x + y but z = x + y …..as before!

  13. The first two terms have common factor x, the last two have common factor 3 There is now a common factor of (y + 2) Check your answer by expanding the brackets.

  14. For this method to succeed, both brackets should be the same, i.e both (1 - y) Check your answer by expanding the brackets

More Related