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
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.