Question
Find the product:
$1.5 x\left(10 x^2 y-100 x y^2\right)$

Answer

To find the product, we will use distributive law as follows:
$1.5 x\left(10 x^2 y-100 x y^2\right) \\
=\left(1.5 x \times 10 x^2 y\right)-\left(1.5 x \times 100 x y^2\right) \\
=\left(15 x^{1+2} y\right)-\left(150 x^{1+1} y^2\right) \\
=15 x^3 y-150 x^2 y^2$
Thus, the answer is $15 x^3 y-150 x^2 y^2$

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