Special Products Rule 6

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Expand $(2x + y)(4x^{2} - 2xy +y^{2})$

**Answer**

$\;\;\;(2x + y)(4x^{2} - 2xy +y^{2})$

$=(2x + y)((2x)^2 - (2x)(y) + (y)^2) $

$=(A + B)(A^2 - AB + B^2) \text{ , where } A = 2x \text{ and } B = y $

$=A^3 + B^3 $

$=(2x)^3 + (y)^3 $

$=8x^{3} + y^{3} $