Simplify the Rational Expression $\frac { 8 x ^ { 2 } y + 24 x y ^ { 2 } - 32 y ^ { 3 } } { 48 x ^ { 3 } y - 36 x ^ { 2 } y ^ { 2 } - 12 x y ^ { 3 } }$

question 49

Multiple Choice

Simplify the rational expression. $\frac { 8 x ^ { 2 } y + 24 x y ^ { 2 } - 32 y ^ { 3 } } { 48 x ^ { 3 } y - 36 x ^ { 2 } y ^ { 2 } - 12 x y ^ { 3 } }$

• A) \(\frac { 2 ( x - 4 y ) } { 3 x ( 4 x + y ) }\)
• B) \(\frac { 2 y ( x + 4 y ) } { 3 x ( x - 4 y ) }\)
• C) \(\frac { 2 } { 3 x }\)
• D) \(\frac { 2 ( x + 4 y ) } { 3 x ( 4 x + y ) }\)
• E) \(\frac { 2 ( x - 4 y ) } { 3 x y ( 4 x - y ) }\)

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