Dear all,
take some time to look at the videos to find out more about factorisation in algebra.
1) Factoring by grouping using algebra tiles
http://www.mathvids.com/lesson/mathhelp/17-factoring-by-grouping
2) Factoring by grouping 4 terms - Part 2
http://www.mathvids.com/lesson/mathhelp/464-factoring-by-grouping-part-2
3) Factoring by grouping - Youtube
http://www.youtube.com/watch?v=LitM6ERl88A
Place your comments and questions regarding the examples from the videos here.
Enjoy! : D
Tuesday, February 10, 2009
Reply to Franky
Hi Franky,
welcome to the blog! Regarding the question you mentioned in the earlier post:
....the factorisation thing like (3m-4n)(x+y) -(2m-3n)(x+y) so, the x+y is merged and become 1 x+y right.
You are moving ahead of lesson! Good!
Well, in factorisation, our objective is to identify common factors and take them out. In your example the expression (x + y) is common and we will take out this factor out. Then, we will group the rest of the terms together.
(3m-4n) (x+y) -(2m-3n) (x+y)
= ( x+ y ) [ (3m-4n) - (2m-3n) ]
= ( x + y ) ( 3m - 4n - 2m + 3n )
= (x + y) ( m - n )
In case you are wondering why -( 2m - 3n) becomes -2m + 3n, refer to the explanation below.
- ( 2m - 3n )
= (-1) (2m - 3n)
= (-1)(2m) - (-1)(3n) by distributive property
= - 2m + 3n
welcome to the blog! Regarding the question you mentioned in the earlier post:
....the factorisation thing like (3m-4n)(x+y) -(2m-3n)(x+y) so, the x+y is merged and become 1 x+y right.
You are moving ahead of lesson! Good!
Well, in factorisation, our objective is to identify common factors and take them out. In your example the expression (x + y) is common and we will take out this factor out. Then, we will group the rest of the terms together.
(3m-4n) (x+y) -(2m-3n) (x+y)
= ( x+ y ) [ (3m-4n) - (2m-3n) ]
= ( x + y ) ( 3m - 4n - 2m + 3n )
= (x + y) ( m - n )
In case you are wondering why -( 2m - 3n) becomes -2m + 3n, refer to the explanation below.
- ( 2m - 3n )
= (-1) (2m - 3n)
= (-1)(2m) - (-1)(3n) by distributive property
= - 2m + 3n
Reply to Adrian
Hi Adrian,
I'm happy to see your posting here. Regarding the question you mention:
.... is xy the same as yx?
I would say that they are the same term because by Commutative Property we see the example 2 x 4 = 8 and 4 x 2 = 8 is true.
Therefore, we can say that xy and yx are the same. However, we would like to display in our presentation as xy according to alphabetical order.
Feel free to comment on other topics and I hope to hear from you soon.
Other students may also add on to my examples here.
I'm happy to see your posting here. Regarding the question you mention:
.... is xy the same as yx?
I would say that they are the same term because by Commutative Property we see the example 2 x 4 = 8 and 4 x 2 = 8 is true.
Therefore, we can say that xy and yx are the same. However, we would like to display in our presentation as xy according to alphabetical order.
Feel free to comment on other topics and I hope to hear from you soon.
Other students may also add on to my examples here.
Friday, February 6, 2009
Questions and Discussions
Make use of the blog to post your questions and discuss math related topics with your classmates.
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