Which expressions are equivalent to the one below ? check all that apply : ) 21^x/3^x a- 7 b- (21-3)^x c- 3^x d- 7^x*3^x/3^x e- (21/3)^x d- 7^x

Option D and E are  equivalent to the given expression.

Step-by-step explanation:

Given :

Solution:

Using identity :

  -- Option E

Now this can be written as  

Identity :

 -- Option D

  -- Option D

Thus Option D and E are  equivalent to the given expression.

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..

hows it hangin lol

step-by-step explanation: