Answer:
4x(x - 5)(x + 5)
Step-by-step explanation:
given
4x³ - 100x ← factor out the common factor of 4x
= 4x(x² - 25) ← (x² - 25) is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , so
x² - 25
= x² - 5²
= (x - 5)(x + 5)
Then
4x³ - 100x = 4x(x - 5)(x + 5) ← in factored form
