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Question
Find the following product:
4.1xy(1.1x − y)
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Solution
To find the product, we will use distributive law as follows:
\[4 . 1xy\left( 1 . 1x - y \right)\]
\[ = \left( 4 . 1xy \times 1 . 1x \right) - \left( 4 . 1xy \times y \right)\]
\[ = \left\{ \left( 4 . 1 \times 1 . 1 \right) \times xy \times x \right\} - \left( 4 . 1xy \times y \right)\]
\[ = \left( 4 . 51 x^{1 + 1} y \right) - \left( 4 . 1x y^{1 + 1} \right)\]
\[ = 4 . 51 x^2 y - 4 . 1x y^2\]
Thus, the answer is \[4 . 51 x^2 y - 4 . 1x y^2\].
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