Thread: PLZ somone help with the method to simplify expressions

1. PLZ somone help with the method to simplify expressions

I'm finding it very difficult to simplify expressions:
Can anyone tell me the method:
For example:
3cd2 The 2 is supposed to be a 'squared sign'
5cd

2. Well if you have a fraction like that you see whats on the top and whats on the bottom and then you look to see what you can simplify (get rid of) e.g.

Simplify: $\displaystyle \frac {7A4B10C2D^2}{4A2B10CD^2}$

First imagine the fraction in similar segmented fractions (if that is even grammatically correct)

$\displaystyle \implies \frac {7A}{4A} \cdot \frac {4B}{2B} \cdot \frac {10C}{10C} \cdot \frac {2D^2}{D^2}$

Now work them out individually:

$\displaystyle \frac {7A}{4A}$ cannot be simplified so it remains the same.

$\displaystyle \frac {4B}{2B} \implies 2B$

$\displaystyle \frac {10C}{10C} \implies 1$

$\displaystyle \frac {2D^2}{D^2} \implies 2$

Now combine them (put them back)

$\displaystyle \frac {7A}{4A} \cdot 2B \cdot 1 \cdot 2$
$\displaystyle \implies \frac {14A4B}{4A}$

However even this can be simplified;

$\displaystyle \frac {2(7A2B)}{2(2A)}\implies \frac {7A2B}{2A}$

This seems a bit long-winded but once you get the hang of it, it becomes much quicker and easier. Now try yours.

3. Originally Posted by dravid2
I'm finding it very difficult to simplify expressions:
Can anyone tell me the method:
For example:
3cd2 The 2 is supposed to be a 'squared sign'
5cd
3d/5 ???

the d2 and d cancel 1 to leave a d at the top
the c's cancel and so your left with 3d/5 because 3 and 5 cant cancel eachother.. im new to this aswell so if im wrong, please correct me.