hey guys, need help simplifying this expression. any help i would appreciate it! thank uu

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- August 19th 2008, 07:48 AMjvignaciosimplifying the expression
hey guys, need help simplifying this expression. any help i would appreciate it! thank uu

- August 19th 2008, 08:00 AMo_O

I'll break this into pieces so you'll see what is happening:

- . This is what the difference of squares is (ring a bell?).
- . The most you can take out from the whole expression (i.e. BOTH terms) is a single . You can't factor out an because the second term does not have one and you can't factor out another because the first term only has one .
- . Not much we can do here but notice how this looks like in the second bullet above? They look similar but are not equal so that you can
*not*directly cancel them. However, (remember this trick), if you factor out a -1 from this expression, we get: which we can now cancel with the other (4x - y). - . The most you can factor out from
*both*terms is an . The reasoning is the same as the second bullet.

Now, see what you can cancel and hopefully you'll be able to do your other problems similarly as well. - . This is what the difference of squares is (ring a bell?).
- August 19th 2008, 08:03 AMSoroban
Hello, jvignacio!

I must assume that you know that we must factor and reduce . . .

Quote:

Simplify: .

Factor: .

Reduce: . .

- August 19th 2008, 08:11 AMjvignacio
- August 19th 2008, 10:20 AMo_O
Yep, just as Soroban has it.

(order doesn't matter)