Question

Factor completely

16v^4-v^4 w^4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To factor the expression 16v^4 - v^4 w^4, we can first factor out the common factor of v^4:

16v^4 - v^4 w^4 = v^4(16 - w^4)

Now we can further factor the expression inside the parentheses as a difference of squares:

16 - w^4 = (4)^2 - (w^2)^2 = (4 - w^2)(4 + w^2)

Therefore, the completely factored form is:

16v^4 - v^4 w^4 = v^4(4 - w^2)(4 + w^2)