Answer
$6xy (x+2)(x^2-2x+4)$
Work Step by Step
$6x^4y + 48xy = 6xy (x^3 + 8) =6xy (x^3 + 2^3) = 6xy (x+2)(x^2-2x+2^2)=6xy (x+2)(x^2-2x+4)$
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