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May 6th, 2014, 08:05 PM   #1
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Simplify [latex]m+n/2 - m-n/3 + 3(m-1)[/latex]

Simplify
/frac{m+n}{2}-frac{m-n}{3} + 3(m-1)



=
=
=



When I checked my text book after working the final answer was given as . What is wrong? I believe that my own answer is very right.

How do I check to see that an algebraic expression is right after simplifying it. I want to know if there is special way to check the accurateness of an expression after simplifying.

Last edited by Chikis; May 6th, 2014 at 08:44 PM.
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May 6th, 2014, 08:48 PM   #2
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Can't tell how you arrived at your answer...but it is VERY wrong.

To check an answer, simply substitute a value for each variable,
then compare original to final...
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May 7th, 2014, 01:13 PM   #3
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/frac{m+n}{2}-frac{m-n}{3} + 3(m-1)
should be
$\displaystyle \frac{m+n}{2}-\frac{m-n}{3} + 3(m-1)$
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June 11th, 2014, 02:33 AM   #4
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Hello! How do I write
6(1-7/16)exponent -1/2 * 2exponent -1.
All the expressions inside the bracket is raised to negative exponent of 1/2 times 2 raised to negative exponent of 1.
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June 11th, 2014, 03:47 AM   #5
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Quote:
Originally Posted by Denis
To check an answer, simply substitute a value for each variable,
then compare original to final...
You'd want to check multiple different sets of values and linear independent each for linear equations. For example, if we'd have to check 2a + b = a + 2b and we accidentally pick (a,b) = (1,1) then we could conclude that they are equal They also have to be linear independent since (2,2) would also confirm equality. (If you find a set that doesn't work, then you can stop immediately checking further.)

In this case, as there are two variables, it suffices to check two such pairs.

Last edited by Hoempa; June 11th, 2014 at 03:50 AM.
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