RamaniJ54398 RamaniJ54398
  • 03-11-2022
  • Mathematics
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I need help finding which two could be differences of perfect cubes

I need help finding which two could be differences of perfect cubes class=

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SailerO376521 SailerO376521
  • 03-11-2022

Solution:

The differences of perfect cube is expressed in the form:

[tex](a)^3-(b)^3[/tex]

From the given options, we have the difference of perfect cubes to be

[tex]\begin{gathered} 216a^6-27y^3\Rightarrow\left(6a^2\right)^3-\left(3y\right)^3 \\ \\ 8a^{15}-27\Rightarrow(2a^5)^3-(3)^3 \end{gathered}[/tex]

Hence, the correct options are

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