There is a small error in the first example: the factored form should be x^3(a - b + c - d^2*x^3)
In this lesson on common factors, we learn how to remove the greatest common factor of each term in a polynomial expression. The trick is to find the smallest common factor, and divide each term by it, writing the expression inside a bracket. We can then verify our answer by multiplying the two factors together, which should give us the original expression. By taking out the common factors one by one, we can simplify polynomial expressions effectively.
The Common Factor factoring method.