Question

Find the greatest common factor h^3-4h

Answer 1

First factor out the common factor h:

h^3 − 4h = h(h^2 − 4)

Then factor the difference of squares:

h^2 − 4 = (h − 2)(h + 2)

So the full factorization is h(h − 2)(h + 2), and the greatest common factor is h.