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Question
Find the following product:
1.5x(10x2y − 100xy2)
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Solution
To find the product, we will use distributive law as follows:
\[1 . 5x\left( 10 x^2 y - 100x y^2 \right)\]
\[ = \left( 1 . 5x \times 10 x^2 y \right) - \left( 1 . 5x \times 100x y^2 \right)\]
\[ = \left( 15 x^{1 + 2} y \right) - \left( 150 x^{1 + 1} y^2 \right)\]
\[ = 15 x^3 y - 150 x^2 y^2\]
Thus, the answer is \[15 x^3 y - 150 x^2 y^2\].
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