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
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