can someone factor these problems until they cant be factored anymore thanks:)

a^3+a^2b-ab^2-b^3

x^4-10x^2+9

x^4-24x^2+144

a^3+2a^2-5a-10

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- November 30th 2006, 10:31 PMelfen_liedneed help on some factor problems
can someone factor these problems until they cant be factored anymore thanks:)

a^3+a^2b-ab^2-b^3

x^4-10x^2+9

x^4-24x^2+144

a^3+2a^2-5a-10 - November 30th 2006, 10:52 PMCaptainBlack
- November 30th 2006, 11:01 PMCaptainBlack
- November 30th 2006, 11:29 PMelfen_lied
- November 30th 2006, 11:32 PMCaptainBlack
- November 30th 2006, 11:46 PMelfen_lied
- November 30th 2006, 11:58 PMCaptainBlack
- December 1st 2006, 12:06 AMelfen_lied
- December 1st 2006, 03:47 AMtopsquark
Perhaps a slightly different approach would work better for you.

Notice how we only have even powers of x listed here. So to momentarily simplify the expression I'm going to define :

This is a simple quadratic, which you should know how to factor.

I get that

Now we put the x's back in:

Now. Notice that each of these factors is of the form: , so

The same approach will also work on your third problem.

-Dan