Factor (x^2-1)^2

Problem

(x2−1)2

Solution

1. Identify the expression inside the square as a difference of squares, which follows the pattern a2−b2=(a−b)*(a+b)

2. Factor the inner expression x2−1 by setting a=x and b=1

x2−1=(x−1)*(x+1)

3. Apply the power of a product rule, which states (a*b)n=an*bn to the entire squared expression.

((x−1)*(x+1))2=(x−1)2*(x+1)2

Final Answer

(x2−1)2=(x−1)2*(x+1)2

Want more problems? Check here!