Factor out the common monomial: x5-8x3+14x = x(x4-8x2+16) .Recognize x4−8x2+16 as a perfect square and factor it as x(x2−4)2. Look at each term and recognize that the term in parenthesis is a difference of squares.Factor it and get ((x+2)(x−2))2, which can rewrite as(x+2)2(x−2)2.
Got it! ok what's next?
If we look at each factor now we see that we can factor no more.The final answer is x(x+2)2(x−2)2 .
Wow! thanks Ana. Now I already know how to factor a expression completely.