Question

1. $x^3 - 25x$

Explanation:

Step1: Factor out common term

$x^3 - 25x = x(x^2 - 25)$

Step2: Apply difference of squares

$x^2 - 25 = x^2 - 5^2 = (x-5)(x+5)$

Step3: Combine factors

$x(x^2 - 25) = x(x-5)(x+5)$

Answer:

$x(x-5)(x+5)$