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

$\frac{2}{x^6-y^6}\text{ -----(1)}$

For A,

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

Therefore, A is equivalent to the expression (1)

For B,