Question

Factories: (2x +y)3 + (x +2y)3

Answer 1

Answer:

Step by Step Solution:

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STEP

1

:

1.1     Evaluate :  (2x-y)3   =    8x3-12x2y+6xy2-y3

1.2     Evaluate :  (x-2y)3   =    x3-6x2y+12xy2-8y3

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  9x3 - 18x2y + 18xy2 - 9y3  =

 9 • (x3 - 2x2y + 2xy2 - y3)

Checking for a perfect cube :

2.2    x3 - 2x2y + 2xy2 - y3  is not a perfect cube

Final result :

 9 • (x3 - 2x2y + 2xy2 - y3)

Step-by-step explanation: