Answer:
A and C
Step-by-step explanation:
Equivalent expressions are expression which when simplified to lowest terms are equal.
Simplify each answer choice to find the expression which simplifies to [tex]\frac{2}{x^6-y^6}[/tex].
A. Multiply the exponents 3*2 = 6. This is equal.
B. Multiply numerators and denominators. Here the numerator will be 1*1 = 1. It does not equal 2 in the numerator.
C. Here the numerator does equal 2. The denominator multiplies to [tex](x^3 - y^3)(x^3+y^3)\\x^6 -x^3y^3 + x^3y^3 -y^6\\x^6 - y^6[/tex]
This is equal.
D. The denominator will have three terms here when simplified. This will not be equal.
