Which of the following expressions are equivalent to 2/x^4-y-^4 choose all that apply

B and D.

Step-by-step explanation:

B.  The numerator = 2*1 = 2 and x^4 - y^4 = (x^2 - y^2)(x^2 + y^2).

D .  (x^2)^2  - (y^2)^2 = x^4 - y^4.

The answer are options

and  

Step-by-step explanation:

As all the options are multiplication of fractions the option A cannot be an answer because the numerator multiplication is 1 and different to 2. In the case of option C, observe that if we multiply the denominators we have:

As we know for the expanding of the square binomials:

Which is different from the denominator compared:

Thus option B cannot be an answer either.

Noting that the denominator compared is a square of two difference by definition, therefore, can be written as:

This results in the same denominator as option B. So, option B is a possible answer.

Finally, in the denominator of option D, we can solve the exponents of this factor.

Which results in the same as the denominator compared, this let option D to be a possible answer.

25/14 or 1.

step-by-step explanation:

the dots mean that it has infinitely more numbers behind it

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)