QuestionFactor completely: $$3 v^{4} x^{3}-48 x^{3}$$

Studdy Solution
Factor $v^{2} - 4$ further as it is also a difference of squares:
- $v^{2} - 4 = (v - 2)(v + 2)$.
Thus, the complete factorization of the original expression is:
$$3x^{3}(v - 2)(v + 2)(v^{2} + 4)$$
The completely factored form of the expression is:
$$\boxed{3x^{3}(v - 2)(v + 2)(v^{2} + 4)}$$