How can I simplify this equation?

[SJB]

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

 

[Gerenuk]

$$(L-x)=L\left(1-\frac{x}{L}\right)=L\left(2-\frac{x}{L}-1\right)=L\left(2\left(1-\frac{x}{2L}\right)-1\right)$$

 

[SJB]

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