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)

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)

anonymous · Answer

is it s^4?

anonymous · Answer

s^4-16?

campbell_st · Answer

thiink about the problem this way

(s^2)^2 - (4)^2 

now you have the difference of 2 squares..

anonymous · Answer

$$(s ^{2}-4)(s ^{2}+4)$$

campbell_st · Answer

thats the start...

after that you will have  pair of brackets containing the difference of 2 squares... so factor that as well

anonymous · Answer

option d correct only simplify $$a ^{2}-b ^{2}=(a+b)(a-b)  also using  i ^{2}=-1$$

anonymous · Answer

then we get (s-2i)(s+2i)(s-2)(s+2)