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Which expression is the completely factored form of  x3+8y6 ?

 

SamJones  Jan 17, 2018
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x^3  + 8y^6

 

We have a sum of cubes here

 

a^3  + b^3   =   (a + b)  (a^2  - ab +  b^2 )

 

Let  a  =  ∛x^3  =  x         and   b  = ∛ [8y^6]  = ∛ 8  * ∛y^6  =     2y^2

 

So we have

 

(x + 2y^2 )  (  [x]^2  -   x*2y^2  +  [2y^2]^2  )     =

 

(x + 2y^2)  ( x^2  - 2xy^2  +  4y^4)    ⇒    the first answer

 

 

cool cool cool

CPhill  Jan 17, 2018

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