Respuesta :
Answer:
[tex]5(x - 2)(x+ 2)(x^2 + 4)[/tex]
Step-by-step explanation:
The expression given is:
[tex]5x^4 - 80\\\\5(x^4 - 16)\\\\5(x^4 - 2^4)\\\\5((x^2)^2 - (2^2)^2)\\\\[/tex]
Difference of two squares:
[tex]5(x^2 - 2^2)(x^2 + 2^2)\\\\5(x - 2)(x + 2)(x^2 + 2^2)\\\\5(x - 2)(x+ 2)(x^2 + 4)[/tex]
The factorized form of the given equation is [tex]5(x-2)(x+2)(x-2)(x+2)[/tex] and this can be determined by using the factorization method.
Given :
[tex]f(x) = 5x^4-80[/tex]
The following steps can be used in order to determine the factors of the given function:
Step 1 - Write the given function.
[tex]f(x) = 5x^4-80[/tex]
Step 2 - Take out 5 as common in the above function.
[tex]f(x) = 5(x^4-16)[/tex]
Step 3 - Now, try to factorize the above function.
[tex]f(x) = 5(x^4-2^4)\\f(x) = 5(x-2)(x+2)(x-2)(x-2)[/tex]
From the above steps, it can be concluded that the correct option is B).
For more information, refer to the link given below:
https://brainly.com/question/6810544
