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2xy + 3wxy - 8x - 12wx
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4xy^2 - 64x
Factor the numerator and denominator
(2xy - 8x) + (3wxy - 12wx)
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4x(y^2 - 16)
2x(y - 4) + 3wx(y - 4)
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4x(y - 4)(y + 4)
(2x + 3wx)(y - 4)
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4x(y - 4)(y + 4)
x(2 + 3w)(y - 4)
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4x(y - 4)(y + 4)
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2 + 3w
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4(y + 4)