Question

What is the factored form of the expression?

s4 – 16
A. (s - 2)2(s + 2)2

B. (s - 2)(s + 2)

C. (s - i)(s + i)(s - 2)(s + 2)
D. (s - 2i)(s + 2i)(s - 2)(s + 2)

Answer 1

do you have an answer?

Answer 2

Please if you give the answer show me how you did get it not just give the answer please

Answer 3

yes

Answer 4

I got B

Answer 5

i want to make sure my answer is correct

Answer 6

B? no

Answer 7

it's difference of two squares \[s^4 - 16 \implies (s^2)^2 - 4^2 \implies (s^2 + 4)(s^2 - 4) \implies (s^2 + 4)(s+2)(s-2)\]

Answer 8

so where did i go wrong

Answer 9

you tell me

Answer 10

but that's not even one of the answers given

Answer 11

that's because they phrased \[(s^2+4)\]
as \[(s+2i)(s-2i)\]

Answer 12

\[(s+2i)(s-2i) \implies s^2 - 4i^2 \implies s^2 - 4(-1) \implies s^2 + 4\]
see?

Answer 13

So D

Answer 14

yup

Answer 15

thanks so much for the help

Answer 16

welcome

Answer 17

D. (s^2 + 4)(s + 2)(s - 2)
I got this correct on my test.