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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-example-1
User Mguymon
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1 Answer

18 votes
18 votes

Solution:

The differences of perfect cube is expressed in the form:


(a)^3-(b)^3

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


\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}

Hence, the correct options are

I need help finding which two could be differences of perfect cubes-example-1
User Tommymaynard
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3.3k points