Factor x^4-25

Problem

x4−25

Solution

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

2. Rewrite the terms as squares to determine a and b

x4=(x2)2

25=5

3. Apply the formula for the difference of squares using a=x2 and b=5

(x2−5)*(x2+5)

Final Answer

x4−25=(x2−5)*(x2+5)

Want more problems? Check here!