Question

Which expression is a difference of cubes? X^6-6 X^6-8 x^8-6

Answer 1

x⁶ - 8

Further explanation

Given:

• x⁶ - 6
• x⁶ - 8
• x⁸ - 6

Question:

Which expression is a difference of cubes?

The Process:

The difference of cubes is as follows: $\boxed{ \ a^3 - b^3 \ }$

Based on this form, from the three options above the answer is the second option.

Because the second option $\boxed{ \ x^6 - 8 \ }$, consist of the first term with an exponent that are divisible by three and the second term with a cubic exponent. Such as the following:

• $\boxed{ \ x^6 = (x^2)^3 \ }$
• $\boxed{ \ 8 = 2^3 \ }$

Therefore the answer is $\boxed{\boxed{ \ x^6 - 8 = (x^2)^3 - 2^3 \ }}$, which is a difference of cubes.

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Notes

• The difference of squares is as follows: $\boxed{ \ a^2 - b^2 \ }$
• Now consider how to describe a difference of squares: $\boxed{ \ a^2 - b^2 = (a + b)(a - b) \ }$
• Differentiate from the term "square of difference", which is: $\boxed{ \ (a - b)^2 \ } \rightarrow \boxed{ \ a^2 + b^2 - 2ab \ }$

Learn more

1. Determine whether each algebraic expression is a polynomial or not  brainly.com/question/9184197
2. What is 49 to the power of ¹/₂?  brainly.com/question/46691
3. 68.32 divided by 2.8 is divisible  brainly.com/question/5022643

Answer 2

X^6 - 8, because it is (x^2)^3 - 2^3