# Symplify

• Nov 24th 2012, 07:58 AM
MoniMini
Symplify
Hi!
I would like to know if there is any shortcut to the given statement:

(a-x)(b-x).......(z-x)

Solving it by opening all the parentheses is not, according to me, a very sensible thing to do here.
Any other rule which can be applied to simplify it?

Thanks a Lot!
~MoniMini
• Nov 24th 2012, 08:02 AM
Plato
Re: Symplify
Quote:

Originally Posted by MoniMini
Hi!
I would like to know if there is any shortcut to the given statement:
(a-x)(b-x).......(z-x)
Solving it by opening all the parentheses is not, according to me, a very sensible thing to do here.
Any other rule which can be applied to simplify it?

Would \$\displaystyle (x-x)\$ be one of the factors?
• Nov 24th 2012, 08:14 AM
MoniMini
Re: Symplify
Ummm.....Well....how??
I'm not really understanding this.
I've already gone on Google and searched this, all the answers say is that (x -x) is the factor, but I don't really
understand how....
• Nov 24th 2012, 08:19 AM
Plato
Re: Symplify
Quote:

Originally Posted by MoniMini
Ummm.....Well....how??
I'm not really understanding this.
I've already gone on Google and searched this, all the answers say is that (x -x) is the factor, but I don't really understand how....

Look at the pattern:
\$\displaystyle (a-x)\$ times, \$\displaystyle (b-x)\$ times, \$\displaystyle (c-x)\$ times, until we get to \$\displaystyle (z-x)\$ times.
• Nov 24th 2012, 08:42 AM
MoniMini
Re: Symplify
Okay, so what?
(I'm sorry if you're if you feel I'm annoying you but this is not from my school course, just a question which popped out from some higher-class book, and it really intrigues me)

Anyways, thanks :)
• Nov 24th 2012, 08:50 AM
Plato
Re: Symplify
Quote:

Originally Posted by MoniMini
Okay, so what?
(I'm sorry if you're if you feel I'm annoying you but this is not from my school course, just a question which popped out from some higher-class book, and it really intrigues me)

The answer is \$\displaystyle 0\$. That because \$\displaystyle x-x=0\$ so \$\displaystyle 0\$ times the rest is \$\displaystyle 0\$.
• Nov 24th 2012, 08:54 AM
MoniMini
Re: Symplify
Uh-Oh....
I can understand that but I don't understand why the factor is (x-x).
• Nov 24th 2012, 05:13 PM
Prove It
Re: Symplify
Go through the alphabet. Surely you'll get to x if you go a, b, c, d, ...

Of course, this is assuming that you're using the symbol x from the alphabet to represent the same thing as the variable x in the statement, which it is quite likely you are not... But if that wasn't the case it would not be so easy to solve.
• Nov 25th 2012, 04:59 AM
MoniMini
Re: Symplify
Aaaah! How silly I am!! Hehehe. I got it now :P