How can I simplify this equation?

  • Thread starter SJB
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In summary, Simon is looking for help with a line of simplification in a textbook example. The simplification involves L-x and L(1-x/L) which can be rewritten as L(2(1-x/2L)-1). Simon thanks Gerenuk for their assistance and realizes that their previous attempts at expanding and grouping were not necessary.
  • #1
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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  • #2
[tex](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)[/tex]
 
  • #3
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
 

FAQ: How can I simplify this equation?

What is equation simplification?

Equation simplification is the process of reducing a mathematical expression to its most basic form, without changing its value.

Why is equation simplification important?

Equation simplification is important because it makes complex equations more manageable and easier to solve. It also helps in understanding the underlying principles and relationships within the equation.

What are the steps involved in equation simplification?

The steps involved in equation simplification include combining like terms, using the distributive property, factoring, and simplifying fractions. These steps are repeated until the equation is in its simplest form.

What are common techniques used in equation simplification?

Some common techniques used in equation simplification include the use of the distributive property, factoring, and canceling out common factors. Other techniques include converting to a common denominator and using the commutative and associative properties.

How do I know if I have simplified an equation correctly?

You can check if you have simplified an equation correctly by substituting the simplified expression back into the original equation and seeing if the values are equal. You can also use a calculator to check the value of the equation before and after simplification.

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