Question

PLease help me
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Which of the following expressions are equivalent to 2/(x^6-y^6) choose all that apply
A 1/(x^3-y^3)*1/(x^3+y^3)
B 2/(x^3-y^3)*1/(x^3+y^3)
C 2/(x^3-y^3)*1/(x^3-y^3)
D 2/(x^3)^2-(y^3)^2

Answer 1

a,c,d

Answer 2

@satellite73

Answer 3

dca

Answer 4

\(a^2 - b^2 = (a + b)(a - b) \)

Now think of \(x^6 - y^6\) as \((x^3)^2 - (y^3)^2\) and factor using the factoring of a difference of squares shown above.

Answer 5

\(x^6 - y^6 = (x^3)^2 - (y^3)^2 = (x^3 + y^3)(x^3 - y^3) \)

Answer 6

\(\dfrac{2}{x^6 - y^6} = \dfrac{2}{(x^3 + y^3)(x^3 - y^3)} \)

Answer 7

Among the choices, there are 2 correct answers.

Answer 8

are they b and d @mathstudent55

Answer 9

@satellite73

Answer 10

@SolomonZelman

Answer 11

@Hero

Answer 12

@Michele_Laino

Answer 13

it was b and d

Answer 14

Yes, the correct answers are b and d.