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Edexcel C4 Intergration

This is probably simple alegbra... but how do you get from the second to the last step? I'm CONFUSED (I've attached the picture) Thanks in advance!
Original post by Mwansy
This is probably simple alegbra... but how do you get from the second to the last step? I'm CONFUSED (I've attached the picture) Thanks in advance!


2u=2(u+1)-2
and why do so many people insist on putting an extra r in the word INTEGRATION
(edited 9 years ago)
Original post by Mwansy
This is probably simple alegbra... but how do you get from the second to the last step? I'm CONFUSED (I've attached the picture) Thanks in advance!


2 - (2/u+1)

is the same as

2/1 - (2/u+1)

To take away, you need a common denominator so 2/1 needs to times by u+1

so you get:

2(u+1)/(u+1) - 2/u+1

which is the same as

[2(u+1)-2]/u+1

Which is the same as 2u/(u+1)
The fraction is a 'top heavy' algebraic fraction as the order of the top is the same as the bottom. Use long division for polynomials and the answer pops out.

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