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Question
Simplify: x3y(x2 − 2x) + 2xy(x3 − x4)
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Solution
To simplify, we will use distributive law as follows:
\[x^3 y\left( x^2 - 2x \right) + 2xy\left( x^3 - x^4 \right)\]
\[ = x^5 y - 2 x^4 y + 2 x^4 y - 2 x^5 y\]
\[ = x^5 y - 2 x^5 y - 2 x^4 y + 2 x^4 y\]
\[ = - x^5 y\]
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