Question

Which of the following expressions are equivalent toapply.2? Choose all that-y.A.2.(x)2 - (y2.2B.(x – y)y)D0pc0] c.2.(x? - y) (x – y)11O D.- ( +y'))

Answer 1

In this question, we are required to find expressions equivalent to

`(2)/(x^6-y^6)\text{ -----(1)}`

For A,

`\begin{gathered} (2)/((x^3)^2-(y^3)^2) \\ \text{ using the fact that }(a^b)^c=a^(bc) \\ \Rightarrow(2)/((x^3)^2-(y^3)^2)=(2)/(x^6-y^6) \end{gathered}`

Therefore, A is equivalent to the expression (1)

For B,