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Kipish [7]
3 years ago
5

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

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
6 0

x⁶ - 8

<h3>Further explanation</h3>

<u>Given:</u>

  • x⁶ - 6
  • x⁶ - 8
  • x⁸ - 6

<u>Question:</u>

Which expression is a difference of cubes?

<u>The Process:</u>

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.

- - - - - - - - - -

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 \ }
<h3>Learn more</h3>
  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
snow_lady [41]3 years ago
5 0
X^6 - 8, because it is (x^2)^3 - 2^3
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