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Question
xy(x3 − y3)
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Solution
To find the product, we will use the distributive law in the following way:
\[xy\left( x^3 - y^3 \right)\]
\[ = xy \times x^3 - xy \times y^3 \]
\[ = \left( x \times x^3 \right) \times y - x \times \left( y \times y^3 \right)\]
\[ = x^{1 + 3} y - x y^{1 + 3} \]
\[ = x^4 y - x y^4\]
Thus, the answer is \[x^4 y - x y^4\].
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