Medal!!

which of the following expressions are equivalent to 2/x^6-y^6 choose all that apply

Question

Medal!!


which of the following expressions are equivalent to 2/x^6-y^6 choose all that apply

anonymous · Answer

attachment

eric_d · Answer

A

anonymous · Answer

is that the only one?

eric_d · Answer

It shld be

mathmate · Answer

nope.
Think of the identity:
a^2-b^2 = (a+b)(a-b)

eric_d · Answer

okay, forget.. that formula.. @mathmate 
:)

mathmale · Answer

I am assuming that you mean$$2/x^6-y^6\rightarrow \frac{ 2 }{ x^6 }-y^6$$

mathmale · Answer

Please verify whether or not this is correct.

Food for thought:  If you had $$ \frac{ 1 }{ x^6 }-y^6,$$...with no coefficient 2, then this would have the form $$a^2-b^2,$$...which in turn would give you the factors $$(\frac{ 1 }{ x^3 }-y^3)(\frac{ 1 }{ x^3 }+y^3)$$

Hope this information is of some help to you in finding your own answer to this question.

mathmate · Answer

@mathmale
I'm afraid too many people are not respecting the PEDMAS rules when it comes to linearizing a fraction.
The question is meant to be
2/(x^6-y^6) judging from the choice of responses.

mathmale · Answer

@mathmate:  Your use of parentheses is a great help.  @FearlessRene:  please take note how much the simple use of parentheses can do to clarify a math expression.