Question

50 POINTS!!! Which of the following expressions are equivalent to 2/x^8-y^8

Answer 1

`\large \boxed{\mathrm{\bold{A.} } \ (2)/(x^4-y^4) \cdot (1)/(x^4 +y^4)} \\\\\\ \large \boxed{\mathrm{\bold{B.} } \ (2)/((x^4)^2 -(y^4)^2 ) }`

Explanation:

`\displaystyle (2)/(x^8-y^8 )`

Factor the denominator.

`\displaystyle (2)/((x^4)^2 -(y^4)^2 )`

`\displaystyle (2)/((x^4-y^4)^2 )`

`\displaystyle (2)/((x^4-y^4)(x^4 +y^4) )`

Split the fraction into two fractions.

`\displaystyle (2)/(x^4-y^4) \cdot (1)/(x^4 +y^4)`

Answer 2

it's A&B

Explanation: