=(2x^2 -1)(2x^2 -1)
=4x^4 -4x^2 +1
Factor completely (factor common first)
=y^2(y^2 -6y +9)
factor/simplify lowest terms
9x^2-1 * x^2-1
for example I can re-write the original statement as
notice that if you multiply each of them back together it would make the same statement that we started with, and even more, notice that they each have a in common that we can factor out.
so if we factor out the we get Once again notice that if we multiply everything back out we will get the same as we started with.
Now we can factor what we have left to That last factoring is a little tricky, it is like undoing foiling.
so we should finish with
Hope this helps a little.