Math  /  Algebra

Question25x2125 x^{2}-1

Studdy Solution
Apply the difference of squares formula, which states that a2b2=(ab)(a+b)a^2 - b^2 = (a - b)(a + b).
For our expression:
(5x)212=(5x1)(5x+1) (5x)^2 - 1^2 = (5x - 1)(5x + 1)
Thus, the expression 25x2125x^2 - 1 factors to:
(5x1)(5x+1) (5x - 1)(5x + 1)
The factored form of the expression is:
(5x1)(5x+1) \boxed{(5x - 1)(5x + 1)}

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