How can I simplify this equation?

  • Context: Undergrad 
  • Thread starter Thread starter SJB
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SUMMARY

The discussion centers on simplifying the equation L-x=L(1-x/L), which leads to further simplifications crucial for integration. Simon initially struggled with the process but received clarification from Gerenuk, who pointed out the effective approach to grouping terms rather than expanding them unnecessarily. This exchange highlights the importance of strategic simplification in mathematical problem-solving.

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SJB
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Hi,

Thanks for taking the time to look at my problem.

I'm following a worked example in a textbook and I have come to a line of simplification which I just can't see how/what they've done? I've attached a .jpg showing the two lines of simplification.

Making this simplification helps with integration later on but that's not relevant to this...

Any help would be much appreciated!

Thanks

Simon
 

Attachments

  • equation.jpg
    equation.jpg
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(L-x)=L\left(1-\frac{x}{L}\right)=L\left(2-\frac{x}{L}-1\right)=L\left(2\left(1-\frac{x}{2L}\right)-1\right)
 
Hello Gerenuk,

Brilliant... Thank you very much indeed, I'd spent all day banging my head on the desk over this. I kept trying to expand everything out and group back together again which was pretty stupid I guess...

Thank you again for your help

Simon
 

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